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Finding the Fourth Proportional to 467,663.68, 701,497 and 130,702.11

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Solution

The fourth proportional to 467,663.68, 701,497 and 130,702.11 is: 196,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,663.68 : 701,497 = 130,702.11 : x
  2. Step 2: Convert to fraction form
    467,663.68/701,497 = 130,702.11/x
  3. Step 3: Cross multiply
    467,663.68x = 701,497 × 130,702.11
  4. Step 4: Simplify right side
    467,663.68x = 91,687,138,058.67
  5. Step 5: Solve for x
    x = 91,687,138,058.67/467,663.68
  6. Step 6: Final answer
    x = 196,053.58

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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.