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Finding the Fourth Proportional to 494,781.76, 742,170.76 and 179,164.84

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Solution

The fourth proportional to 494,781.76, 742,170.76 and 179,164.84 is: 268,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,781.76 : 742,170.76 = 179,164.84 : x
  2. Step 2: Convert to fraction form
    494,781.76/742,170.76 = 179,164.84/x
  3. Step 3: Cross multiply
    494,781.76x = 742,170.76 × 179,164.84
  4. Step 4: Simplify right side
    494,781.76x = 132,970,905,468.08
  5. Step 5: Solve for x
    x = 132,970,905,468.08/494,781.76
  6. Step 6: Final answer
    x = 268,746.58

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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.