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Finding the Fourth Proportional to 402,743.20, 604,309.20 and 284,159.20

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Solution

The fourth proportional to 402,743.20, 604,309.20 and 284,159.20 is: 426,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,743.20 : 604,309.20 = 284,159.20 : x
  2. Step 2: Convert to fraction form
    402,743.20/604,309.20 = 284,159.20/x
  3. Step 3: Cross multiply
    402,743.20x = 604,309.20 × 284,159.20
  4. Step 4: Simplify right side
    402,743.20x = 171,720,018,824.64
  5. Step 5: Solve for x
    x = 171,720,018,824.64/402,743.20
  6. Step 6: Final answer
    x = 426,375.96

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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.