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Finding the Fourth Proportional to 314,590.38, 471,698.92 and 124,948.73

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Solution

The fourth proportional to 314,590.38, 471,698.92 and 124,948.73 is: 187,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,590.38 : 471,698.92 = 124,948.73 : x
  2. Step 2: Convert to fraction form
    314,590.38/471,698.92 = 124,948.73/x
  3. Step 3: Cross multiply
    314,590.38x = 471,698.92 × 124,948.73
  4. Step 4: Simplify right side
    314,590.38x = 58,938,180,996.37
  5. Step 5: Solve for x
    x = 58,938,180,996.37/314,590.38
  6. Step 6: Final answer
    x = 187,348.96

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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.