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Finding the Fourth Proportional to 648,076.60, 972,114.90 and 514,232.20

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Solution

The fourth proportional to 648,076.60, 972,114.90 and 514,232.20 is: 771,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,076.60 : 972,114.90 = 514,232.20 : x
  2. Step 2: Convert to fraction form
    648,076.60/972,114.90 = 514,232.20/x
  3. Step 3: Cross multiply
    648,076.60x = 972,114.90 × 514,232.20
  4. Step 4: Simplify right side
    648,076.60x = 499,892,783,679.78
  5. Step 5: Solve for x
    x = 499,892,783,679.78/648,076.60
  6. Step 6: Final answer
    x = 771,348.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.