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Finding the Fourth Proportional to 709,083.98, 978,542.14 and 386,795.52

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Solution

The fourth proportional to 709,083.98, 978,542.14 and 386,795.52 is: 533,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,083.98 : 978,542.14 = 386,795.52 : x
  2. Step 2: Convert to fraction form
    709,083.98/978,542.14 = 386,795.52/x
  3. Step 3: Cross multiply
    709,083.98x = 978,542.14 × 386,795.52
  4. Step 4: Simplify right side
    709,083.98x = 378,495,715,883.21
  5. Step 5: Solve for x
    x = 378,495,715,883.21/709,083.98
  6. Step 6: Final answer
    x = 533,781.23

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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.