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Finding the Fourth Proportional to 447,663.12, 671,472.81 and 167,158.50

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Solution

The fourth proportional to 447,663.12, 671,472.81 and 167,158.50 is: 250,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,663.12 : 671,472.81 = 167,158.50 : x
  2. Step 2: Convert to fraction form
    447,663.12/671,472.81 = 167,158.50/x
  3. Step 3: Cross multiply
    447,663.12x = 671,472.81 × 167,158.50
  4. Step 4: Simplify right side
    447,663.12x = 112,242,387,710.39
  5. Step 5: Solve for x
    x = 112,242,387,710.39/447,663.12
  6. Step 6: Final answer
    x = 250,729.58

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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.