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Finding the Fourth Proportional to 382,174.48, 573,261 and 101,691.76

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Solution

The fourth proportional to 382,174.48, 573,261 and 101,691.76 is: 152,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,174.48 : 573,261 = 101,691.76 : x
  2. Step 2: Convert to fraction form
    382,174.48/573,261 = 101,691.76/x
  3. Step 3: Cross multiply
    382,174.48x = 573,261 × 101,691.76
  4. Step 4: Simplify right side
    382,174.48x = 58,295,920,029.36
  5. Step 5: Solve for x
    x = 58,295,920,029.36/382,174.48
  6. Step 6: Final answer
    x = 152,537.45

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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.