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Finding the Fourth Proportional to 471,670.97, 707,617.17 and 156,127.88

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Solution

The fourth proportional to 471,670.97, 707,617.17 and 156,127.88 is: 234,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,670.97 : 707,617.17 = 156,127.88 : x
  2. Step 2: Convert to fraction form
    471,670.97/707,617.17 = 156,127.88/x
  3. Step 3: Cross multiply
    471,670.97x = 707,617.17 × 156,127.88
  4. Step 4: Simplify right side
    471,670.97x = 110,478,765,065.61
  5. Step 5: Solve for x
    x = 110,478,765,065.61/471,670.97
  6. Step 6: Final answer
    x = 234,228.46

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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.