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Finding the Fourth Proportional to 499,219.60, 748,926.60 and 214,909.60

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Solution

The fourth proportional to 499,219.60, 748,926.60 and 214,909.60 is: 322,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,219.60 : 748,926.60 = 214,909.60 : x
  2. Step 2: Convert to fraction form
    499,219.60/748,926.60 = 214,909.60/x
  3. Step 3: Cross multiply
    499,219.60x = 748,926.60 × 214,909.60
  4. Step 4: Simplify right side
    499,219.60x = 160,951,516,035.36
  5. Step 5: Solve for x
    x = 160,951,516,035.36/499,219.60
  6. Step 6: Final answer
    x = 322,406.24

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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.