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Finding the Fourth Proportional to 310,873.92, 466,507.10 and 178,013.67

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Solution

The fourth proportional to 310,873.92, 466,507.10 and 178,013.67 is: 267,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,873.92 : 466,507.10 = 178,013.67 : x
  2. Step 2: Convert to fraction form
    310,873.92/466,507.10 = 178,013.67/x
  3. Step 3: Cross multiply
    310,873.92x = 466,507.10 × 178,013.67
  4. Step 4: Simplify right side
    310,873.92x = 83,044,640,952.06
  5. Step 5: Solve for x
    x = 83,044,640,952.06/310,873.92
  6. Step 6: Final answer
    x = 267,132.87

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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.