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Finding the Fourth Proportional to 648,114.70, 972,172.05 and 512,812.30

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Solution

The fourth proportional to 648,114.70, 972,172.05 and 512,812.30 is: 769,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,114.70 : 972,172.05 = 512,812.30 : x
  2. Step 2: Convert to fraction form
    648,114.70/972,172.05 = 512,812.30/x
  3. Step 3: Cross multiply
    648,114.70x = 972,172.05 × 512,812.30
  4. Step 4: Simplify right side
    648,114.70x = 498,541,784,956.22
  5. Step 5: Solve for x
    x = 498,541,784,956.22/648,114.70
  6. Step 6: Final answer
    x = 769,218.45

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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.