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Finding the Fourth Proportional to 729,998.91, 1,007,298.97 and 407,667.92

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Solution

The fourth proportional to 729,998.91, 1,007,298.97 and 407,667.92 is: 562,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,998.91 : 1,007,298.97 = 407,667.92 : x
  2. Step 2: Convert to fraction form
    729,998.91/1,007,298.97 = 407,667.92/x
  3. Step 3: Cross multiply
    729,998.91x = 1,007,298.97 × 407,667.92
  4. Step 4: Simplify right side
    729,998.91x = 410,643,469,862.38
  5. Step 5: Solve for x
    x = 410,643,469,862.38/729,998.91
  6. Step 6: Final answer
    x = 562,526.14

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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.