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Finding the Fourth Proportional to 497,335.14, 746,001.90 and 123,358.14

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Solution

The fourth proportional to 497,335.14, 746,001.90 and 123,358.14 is: 185,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,335.14 : 746,001.90 = 123,358.14 : x
  2. Step 2: Convert to fraction form
    497,335.14/746,001.90 = 123,358.14/x
  3. Step 3: Cross multiply
    497,335.14x = 746,001.90 × 123,358.14
  4. Step 4: Simplify right side
    497,335.14x = 92,025,406,820.47
  5. Step 5: Solve for x
    x = 92,025,406,820.47/497,335.14
  6. Step 6: Final answer
    x = 185,037.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.