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Finding the Fourth Proportional to 314,505.38, 471,761.72 and 77,850.11

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Solution

The fourth proportional to 314,505.38, 471,761.72 and 77,850.11 is: 116,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,505.38 : 471,761.72 = 77,850.11 : x
  2. Step 2: Convert to fraction form
    314,505.38/471,761.72 = 77,850.11/x
  3. Step 3: Cross multiply
    314,505.38x = 471,761.72 × 77,850.11
  4. Step 4: Simplify right side
    314,505.38x = 36,726,699,047.73
  5. Step 5: Solve for x
    x = 36,726,699,047.73/314,505.38
  6. Step 6: Final answer
    x = 116,776.06

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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.