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Finding the Fourth Proportional to 465,477.47, 698,214.96 and 123,920.90

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Solution

The fourth proportional to 465,477.47, 698,214.96 and 123,920.90 is: 185,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,477.47 : 698,214.96 = 123,920.90 : x
  2. Step 2: Convert to fraction form
    465,477.47/698,214.96 = 123,920.90/x
  3. Step 3: Cross multiply
    465,477.47x = 698,214.96 × 123,920.90
  4. Step 4: Simplify right side
    465,477.47x = 86,523,425,363.90
  5. Step 5: Solve for x
    x = 86,523,425,363.90/465,477.47
  6. Step 6: Final answer
    x = 185,881.02

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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.