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Finding the Fourth Proportional to 605,122.04, 907,781.57 and 178,701

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Solution

The fourth proportional to 605,122.04, 907,781.57 and 178,701 is: 268,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,122.04 : 907,781.57 = 178,701 : x
  2. Step 2: Convert to fraction form
    605,122.04/907,781.57 = 178,701/x
  3. Step 3: Cross multiply
    605,122.04x = 907,781.57 × 178,701
  4. Step 4: Simplify right side
    605,122.04x = 162,221,474,340.57
  5. Step 5: Solve for x
    x = 162,221,474,340.57/605,122.04
  6. Step 6: Final answer
    x = 268,080.59

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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.