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Finding the Fourth Proportional to 386,099.46, 532,774.26 and 224,920.80

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Solution

The fourth proportional to 386,099.46, 532,774.26 and 224,920.80 is: 310,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,099.46 : 532,774.26 = 224,920.80 : x
  2. Step 2: Convert to fraction form
    386,099.46/532,774.26 = 224,920.80/x
  3. Step 3: Cross multiply
    386,099.46x = 532,774.26 × 224,920.80
  4. Step 4: Simplify right side
    386,099.46x = 119,832,012,778.61
  5. Step 5: Solve for x
    x = 119,832,012,778.61/386,099.46
  6. Step 6: Final answer
    x = 310,365.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.