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Finding the Fourth Proportional to 875,470.80, 1,312,234.20 and 342,814.80

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Solution

The fourth proportional to 875,470.80, 1,312,234.20 and 342,814.80 is: 513,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,470.80 : 1,312,234.20 = 342,814.80 : x
  2. Step 2: Convert to fraction form
    875,470.80/1,312,234.20 = 342,814.80/x
  3. Step 3: Cross multiply
    875,470.80x = 1,312,234.20 × 342,814.80
  4. Step 4: Simplify right side
    875,470.80x = 449,853,304,826.16
  5. Step 5: Solve for x
    x = 449,853,304,826.16/875,470.80
  6. Step 6: Final answer
    x = 513,841.59

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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.