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Finding the Fourth Proportional to 406,757.46, 610,167.36 and 136,886.94

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Solution

The fourth proportional to 406,757.46, 610,167.36 and 136,886.94 is: 205,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,757.46 : 610,167.36 = 136,886.94 : x
  2. Step 2: Convert to fraction form
    406,757.46/610,167.36 = 136,886.94/x
  3. Step 3: Cross multiply
    406,757.46x = 610,167.36 × 136,886.94
  4. Step 4: Simplify right side
    406,757.46x = 83,523,942,798.28
  5. Step 5: Solve for x
    x = 83,523,942,798.28/406,757.46
  6. Step 6: Final answer
    x = 205,340.90

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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.