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Finding the Fourth Proportional to 411,139.65, 567,385.19 and 229,859.22

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Solution

The fourth proportional to 411,139.65, 567,385.19 and 229,859.22 is: 317,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,139.65 : 567,385.19 = 229,859.22 : x
  2. Step 2: Convert to fraction form
    411,139.65/567,385.19 = 229,859.22/x
  3. Step 3: Cross multiply
    411,139.65x = 567,385.19 × 229,859.22
  4. Step 4: Simplify right side
    411,139.65x = 130,418,717,212.95
  5. Step 5: Solve for x
    x = 130,418,717,212.95/411,139.65
  6. Step 6: Final answer
    x = 317,212.70

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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.