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Finding the Fourth Proportional to 657,788.14, 907,747.68 and 355,982.14

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Solution

The fourth proportional to 657,788.14, 907,747.68 and 355,982.14 is: 491,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,788.14 : 907,747.68 = 355,982.14 : x
  2. Step 2: Convert to fraction form
    657,788.14/907,747.68 = 355,982.14/x
  3. Step 3: Cross multiply
    657,788.14x = 907,747.68 × 355,982.14
  4. Step 4: Simplify right side
    657,788.14x = 323,141,961,706.44
  5. Step 5: Solve for x
    x = 323,141,961,706.44/657,788.14
  6. Step 6: Final answer
    x = 491,255.38

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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.