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Finding the Fourth Proportional to 344,670.72, 517,282.56 and 178,506.24

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Solution

The fourth proportional to 344,670.72, 517,282.56 and 178,506.24 is: 267,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,670.72 : 517,282.56 = 178,506.24 : x
  2. Step 2: Convert to fraction form
    344,670.72/517,282.56 = 178,506.24/x
  3. Step 3: Cross multiply
    344,670.72x = 517,282.56 × 178,506.24
  4. Step 4: Simplify right side
    344,670.72x = 92,338,164,803.17
  5. Step 5: Solve for x
    x = 92,338,164,803.17/344,670.72
  6. Step 6: Final answer
    x = 267,902.55

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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.