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Finding the Fourth Proportional to 401,294.80, 602,046.60 and 116,978.92

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Solution

The fourth proportional to 401,294.80, 602,046.60 and 116,978.92 is: 175,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,294.80 : 602,046.60 = 116,978.92 : x
  2. Step 2: Convert to fraction form
    401,294.80/602,046.60 = 116,978.92/x
  3. Step 3: Cross multiply
    401,294.80x = 602,046.60 × 116,978.92
  4. Step 4: Simplify right side
    401,294.80x = 70,426,761,057.67
  5. Step 5: Solve for x
    x = 70,426,761,057.67/401,294.80
  6. Step 6: Final answer
    x = 175,498.81

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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.