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Finding the Fourth Proportional to 421,229.52, 581,686.92 and 270,591.12

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Solution

The fourth proportional to 421,229.52, 581,686.92 and 270,591.12 is: 373,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,229.52 : 581,686.92 = 270,591.12 : x
  2. Step 2: Convert to fraction form
    421,229.52/581,686.92 = 270,591.12/x
  3. Step 3: Cross multiply
    421,229.52x = 581,686.92 × 270,591.12
  4. Step 4: Simplify right side
    421,229.52x = 157,399,315,172.15
  5. Step 5: Solve for x
    x = 157,399,315,172.15/421,229.52
  6. Step 6: Final answer
    x = 373,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.