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Finding the Fourth Proportional to 306,211.60, 459,331.80 and 95,856.40

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Solution

The fourth proportional to 306,211.60, 459,331.80 and 95,856.40 is: 143,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,211.60 : 459,331.80 = 95,856.40 : x
  2. Step 2: Convert to fraction form
    306,211.60/459,331.80 = 95,856.40/x
  3. Step 3: Cross multiply
    306,211.60x = 459,331.80 × 95,856.40
  4. Step 4: Simplify right side
    306,211.60x = 44,029,892,753.52
  5. Step 5: Solve for x
    x = 44,029,892,753.52/306,211.60
  6. Step 6: Final answer
    x = 143,789.11

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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.