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Finding the Fourth Proportional to 456,076.80, 684,115.20 and 189,748.80

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Solution

The fourth proportional to 456,076.80, 684,115.20 and 189,748.80 is: 284,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,076.80 : 684,115.20 = 189,748.80 : x
  2. Step 2: Convert to fraction form
    456,076.80/684,115.20 = 189,748.80/x
  3. Step 3: Cross multiply
    456,076.80x = 684,115.20 × 189,748.80
  4. Step 4: Simplify right side
    456,076.80x = 129,810,038,261.76
  5. Step 5: Solve for x
    x = 129,810,038,261.76/456,076.80
  6. Step 6: Final answer
    x = 284,623.20

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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.