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Finding the Fourth Proportional to 431,515.80, 647,273.70 and 151,061.40

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Solution

The fourth proportional to 431,515.80, 647,273.70 and 151,061.40 is: 226,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,515.80 : 647,273.70 = 151,061.40 : x
  2. Step 2: Convert to fraction form
    431,515.80/647,273.70 = 151,061.40/x
  3. Step 3: Cross multiply
    431,515.80x = 647,273.70 × 151,061.40
  4. Step 4: Simplify right side
    431,515.80x = 97,778,071,305.18
  5. Step 5: Solve for x
    x = 97,778,071,305.18/431,515.80
  6. Step 6: Final answer
    x = 226,592.10

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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.