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Finding the Fourth Proportional to 314,507.25, 471,764.52 and 77,851.98

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Solution

The fourth proportional to 314,507.25, 471,764.52 and 77,851.98 is: 116,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,507.25 : 471,764.52 = 77,851.98 : x
  2. Step 2: Convert to fraction form
    314,507.25/471,764.52 = 77,851.98/x
  3. Step 3: Cross multiply
    314,507.25x = 471,764.52 × 77,851.98
  4. Step 4: Simplify right side
    314,507.25x = 36,727,801,975.75
  5. Step 5: Solve for x
    x = 36,727,801,975.75/314,507.25
  6. Step 6: Final answer
    x = 116,778.87

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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.