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Finding the Fourth Proportional to 521,801.11, 721,535.01 and 414,184.31

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Solution

The fourth proportional to 521,801.11, 721,535.01 and 414,184.31 is: 572,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,801.11 : 721,535.01 = 414,184.31 : x
  2. Step 2: Convert to fraction form
    521,801.11/721,535.01 = 414,184.31/x
  3. Step 3: Cross multiply
    521,801.11x = 721,535.01 × 414,184.31
  4. Step 4: Simplify right side
    521,801.11x = 298,848,480,257.69
  5. Step 5: Solve for x
    x = 298,848,480,257.69/521,801.11
  6. Step 6: Final answer
    x = 572,724.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.