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Finding the Fourth Proportional to 354,508.52, 531,863.26 and 144,297.32

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Solution

The fourth proportional to 354,508.52, 531,863.26 and 144,297.32 is: 216,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,508.52 : 531,863.26 = 144,297.32 : x
  2. Step 2: Convert to fraction form
    354,508.52/531,863.26 = 144,297.32/x
  3. Step 3: Cross multiply
    354,508.52x = 531,863.26 × 144,297.32
  4. Step 4: Simplify right side
    354,508.52x = 76,746,443,024.46
  5. Step 5: Solve for x
    x = 76,746,443,024.46/354,508.52
  6. Step 6: Final answer
    x = 216,486.88

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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.