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Finding the Fourth Proportional to 314,729.78, 471,758.50 and 179,502.70

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Solution

The fourth proportional to 314,729.78, 471,758.50 and 179,502.70 is: 269,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,729.78 : 471,758.50 = 179,502.70 : x
  2. Step 2: Convert to fraction form
    314,729.78/471,758.50 = 179,502.70/x
  3. Step 3: Cross multiply
    314,729.78x = 471,758.50 × 179,502.70
  4. Step 4: Simplify right side
    314,729.78x = 84,681,924,497.95
  5. Step 5: Solve for x
    x = 84,681,924,497.95/314,729.78
  6. Step 6: Final answer
    x = 269,062.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.