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Finding the Fourth Proportional to 402,414.01, 604,133.17 and 260,851.59

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Solution

The fourth proportional to 402,414.01, 604,133.17 and 260,851.59 is: 391,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,414.01 : 604,133.17 = 260,851.59 : x
  2. Step 2: Convert to fraction form
    402,414.01/604,133.17 = 260,851.59/x
  3. Step 3: Cross multiply
    402,414.01x = 604,133.17 × 260,851.59
  4. Step 4: Simplify right side
    402,414.01x = 157,589,097,314.11
  5. Step 5: Solve for x
    x = 157,589,097,314.11/402,414.01
  6. Step 6: Final answer
    x = 391,609.37

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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.