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Finding the Fourth Proportional to 267,980.16, 401,444.82 and 155,423.91

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Solution

The fourth proportional to 267,980.16, 401,444.82 and 155,423.91 is: 232,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,980.16 : 401,444.82 = 155,423.91 : x
  2. Step 2: Convert to fraction form
    267,980.16/401,444.82 = 155,423.91/x
  3. Step 3: Cross multiply
    267,980.16x = 401,444.82 × 155,423.91
  4. Step 4: Simplify right side
    267,980.16x = 62,394,123,573.65
  5. Step 5: Solve for x
    x = 62,394,123,573.65/267,980.16
  6. Step 6: Final answer
    x = 232,831.13

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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.