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Finding the Fourth Proportional to 411,047.82, 616,621.14 and 144,753.30

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Solution

The fourth proportional to 411,047.82, 616,621.14 and 144,753.30 is: 217,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,047.82 : 616,621.14 = 144,753.30 : x
  2. Step 2: Convert to fraction form
    411,047.82/616,621.14 = 144,753.30/x
  3. Step 3: Cross multiply
    411,047.82x = 616,621.14 × 144,753.30
  4. Step 4: Simplify right side
    411,047.82x = 89,257,944,864.76
  5. Step 5: Solve for x
    x = 89,257,944,864.76/411,047.82
  6. Step 6: Final answer
    x = 217,147.35

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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.