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Finding the Fourth Proportional to 469,397.20, 703,814.54 and 149,410.88

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Solution

The fourth proportional to 469,397.20, 703,814.54 and 149,410.88 is: 224,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,397.20 : 703,814.54 = 149,410.88 : x
  2. Step 2: Convert to fraction form
    469,397.20/703,814.54 = 149,410.88/x
  3. Step 3: Cross multiply
    469,397.20x = 703,814.54 × 149,410.88
  4. Step 4: Simplify right side
    469,397.20x = 105,157,549,778.20
  5. Step 5: Solve for x
    x = 105,157,549,778.20/469,397.20
  6. Step 6: Final answer
    x = 224,026.79

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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.