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Finding the Fourth Proportional to 458,876.20, 688,314.30 and 299,443.90

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Solution

The fourth proportional to 458,876.20, 688,314.30 and 299,443.90 is: 449,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,876.20 : 688,314.30 = 299,443.90 : x
  2. Step 2: Convert to fraction form
    458,876.20/688,314.30 = 299,443.90/x
  3. Step 3: Cross multiply
    458,876.20x = 688,314.30 × 299,443.90
  4. Step 4: Simplify right side
    458,876.20x = 206,111,518,417.77
  5. Step 5: Solve for x
    x = 206,111,518,417.77/458,876.20
  6. Step 6: Final answer
    x = 449,165.85

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Similar ratio
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1.5x scale

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.