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Finding the Fourth Proportional to 476,002.49, 714,027.49 and 156,125.97

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Solution

The fourth proportional to 476,002.49, 714,027.49 and 156,125.97 is: 234,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,002.49 : 714,027.49 = 156,125.97 : x
  2. Step 2: Convert to fraction form
    476,002.49/714,027.49 = 156,125.97/x
  3. Step 3: Cross multiply
    476,002.49x = 714,027.49 × 156,125.97
  4. Step 4: Simplify right side
    476,002.49x = 111,478,234,092.60
  5. Step 5: Solve for x
    x = 111,478,234,092.60/476,002.49
  6. Step 6: Final answer
    x = 234,196.75

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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.