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Finding the Fourth Proportional to 417,346.53, 626,069.46 and 132,937.21

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Solution

The fourth proportional to 417,346.53, 626,069.46 and 132,937.21 is: 199,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,346.53 : 626,069.46 = 132,937.21 : x
  2. Step 2: Convert to fraction form
    417,346.53/626,069.46 = 132,937.21/x
  3. Step 3: Cross multiply
    417,346.53x = 626,069.46 × 132,937.21
  4. Step 4: Simplify right side
    417,346.53x = 83,227,927,278.61
  5. Step 5: Solve for x
    x = 83,227,927,278.61/417,346.53
  6. Step 6: Final answer
    x = 199,421.64

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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.