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Finding the Fourth Proportional to 566,407.62, 849,488.18 and 187,238.78

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Solution

The fourth proportional to 566,407.62, 849,488.18 and 187,238.78 is: 280,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,407.62 : 849,488.18 = 187,238.78 : x
  2. Step 2: Convert to fraction form
    566,407.62/849,488.18 = 187,238.78/x
  3. Step 3: Cross multiply
    566,407.62x = 849,488.18 × 187,238.78
  4. Step 4: Simplify right side
    566,407.62x = 159,057,125,263.99
  5. Step 5: Solve for x
    x = 159,057,125,263.99/566,407.62
  6. Step 6: Final answer
    x = 280,817.42

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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.