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Finding the Fourth Proportional to 478,503.20, 717,697.20 and 197,991.20

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Solution

The fourth proportional to 478,503.20, 717,697.20 and 197,991.20 is: 296,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,503.20 : 717,697.20 = 197,991.20 : x
  2. Step 2: Convert to fraction form
    478,503.20/717,697.20 = 197,991.20/x
  3. Step 3: Cross multiply
    478,503.20x = 717,697.20 × 197,991.20
  4. Step 4: Simplify right side
    478,503.20x = 142,097,729,864.64
  5. Step 5: Solve for x
    x = 142,097,729,864.64/478,503.20
  6. Step 6: Final answer
    x = 296,962.97

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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.