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Finding the Fourth Proportional to 478,507.20, 717,703.20 and 197,995.20

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Solution

The fourth proportional to 478,507.20, 717,703.20 and 197,995.20 is: 296,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,507.20 : 717,703.20 = 197,995.20 : x
  2. Step 2: Convert to fraction form
    478,507.20/717,703.20 = 197,995.20/x
  3. Step 3: Cross multiply
    478,507.20x = 717,703.20 × 197,995.20
  4. Step 4: Simplify right side
    478,507.20x = 142,101,788,624.64
  5. Step 5: Solve for x
    x = 142,101,788,624.64/478,507.20
  6. Step 6: Final answer
    x = 296,968.97

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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.