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Finding the Fourth Proportional to 709,884.96, 979,525.71 and 419,456.16

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Solution

The fourth proportional to 709,884.96, 979,525.71 and 419,456.16 is: 578,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,884.96 : 979,525.71 = 419,456.16 : x
  2. Step 2: Convert to fraction form
    709,884.96/979,525.71 = 419,456.16/x
  3. Step 3: Cross multiply
    709,884.96x = 979,525.71 × 419,456.16
  4. Step 4: Simplify right side
    709,884.96x = 410,868,092,937.87
  5. Step 5: Solve for x
    x = 410,868,092,937.87/709,884.96
  6. Step 6: Final answer
    x = 578,781.23

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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.