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Finding the Fourth Proportional to 306,584.92, 459,722.80 and 93,311.92

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Solution

The fourth proportional to 306,584.92, 459,722.80 and 93,311.92 is: 139,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,584.92 : 459,722.80 = 93,311.92 : x
  2. Step 2: Convert to fraction form
    306,584.92/459,722.80 = 93,311.92/x
  3. Step 3: Cross multiply
    306,584.92x = 459,722.80 × 93,311.92
  4. Step 4: Simplify right side
    306,584.92x = 42,897,617,135.78
  5. Step 5: Solve for x
    x = 42,897,617,135.78/306,584.92
  6. Step 6: Final answer
    x = 139,920.83

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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.