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Finding the Fourth Proportional to 306,209.64, 459,323.10 and 84,593.64

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Solution

The fourth proportional to 306,209.64, 459,323.10 and 84,593.64 is: 126,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,209.64 : 459,323.10 = 84,593.64 : x
  2. Step 2: Convert to fraction form
    306,209.64/459,323.10 = 84,593.64/x
  3. Step 3: Cross multiply
    306,209.64x = 459,323.10 × 84,593.64
  4. Step 4: Simplify right side
    306,209.64x = 38,855,812,965.08
  5. Step 5: Solve for x
    x = 38,855,812,965.08/306,209.64
  6. Step 6: Final answer
    x = 126,892.85

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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.