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Finding the Fourth Proportional to 443,585.77, 665,569.31 and 144,158.13

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Solution

The fourth proportional to 443,585.77, 665,569.31 and 144,158.13 is: 216,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,585.77 : 665,569.31 = 144,158.13 : x
  2. Step 2: Convert to fraction form
    443,585.77/665,569.31 = 144,158.13/x
  3. Step 3: Cross multiply
    443,585.77x = 665,569.31 × 144,158.13
  4. Step 4: Simplify right side
    443,585.77x = 95,947,226,394.20
  5. Step 5: Solve for x
    x = 95,947,226,394.20/443,585.77
  6. Step 6: Final answer
    x = 216,299.15

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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.