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Finding the Fourth Proportional to 501,742.80, 752,614.20 and 235,686.96

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Solution

The fourth proportional to 501,742.80, 752,614.20 and 235,686.96 is: 353,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,742.80 : 752,614.20 = 235,686.96 : x
  2. Step 2: Convert to fraction form
    501,742.80/752,614.20 = 235,686.96/x
  3. Step 3: Cross multiply
    501,742.80x = 752,614.20 × 235,686.96
  4. Step 4: Simplify right side
    501,742.80x = 177,381,352,850.83
  5. Step 5: Solve for x
    x = 177,381,352,850.83/501,742.80
  6. Step 6: Final answer
    x = 353,530.44

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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.