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Finding the Fourth Proportional to 478,032.55, 717,048.89 and 158,098.55

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Solution

The fourth proportional to 478,032.55, 717,048.89 and 158,098.55 is: 237,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,032.55 : 717,048.89 = 158,098.55 : x
  2. Step 2: Convert to fraction form
    478,032.55/717,048.89 = 158,098.55/x
  3. Step 3: Cross multiply
    478,032.55x = 717,048.89 × 158,098.55
  4. Step 4: Simplify right side
    478,032.55x = 113,364,388,997.62
  5. Step 5: Solve for x
    x = 113,364,388,997.62/478,032.55
  6. Step 6: Final answer
    x = 237,147.85

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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.