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Finding the Fourth Proportional to 310,874.90, 466,508.57 and 178,014.65

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Solution

The fourth proportional to 310,874.90, 466,508.57 and 178,014.65 is: 267,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,874.90 : 466,508.57 = 178,014.65 : x
  2. Step 2: Convert to fraction form
    310,874.90/466,508.57 = 178,014.65/x
  3. Step 3: Cross multiply
    310,874.90x = 466,508.57 × 178,014.65
  4. Step 4: Simplify right side
    310,874.90x = 83,045,356,587.93
  5. Step 5: Solve for x
    x = 83,045,356,587.93/310,874.90
  6. Step 6: Final answer
    x = 267,134.33

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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.