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Finding the Fourth Proportional to 497,344.10, 745,936.95 and 164,920.10

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Solution

The fourth proportional to 497,344.10, 745,936.95 and 164,920.10 is: 247,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,344.10 : 745,936.95 = 164,920.10 : x
  2. Step 2: Convert to fraction form
    497,344.10/745,936.95 = 164,920.10/x
  3. Step 3: Cross multiply
    497,344.10x = 745,936.95 × 164,920.10
  4. Step 4: Simplify right side
    497,344.10x = 123,019,996,387.70
  5. Step 5: Solve for x
    x = 123,019,996,387.70/497,344.10
  6. Step 6: Final answer
    x = 247,353.89

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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.