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Finding the Fourth Proportional to 316,912.40, 475,399.65 and 92,275.10

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Solution

The fourth proportional to 316,912.40, 475,399.65 and 92,275.10 is: 138,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,912.40 : 475,399.65 = 92,275.10 : x
  2. Step 2: Convert to fraction form
    316,912.40/475,399.65 = 92,275.10/x
  3. Step 3: Cross multiply
    316,912.40x = 475,399.65 × 92,275.10
  4. Step 4: Simplify right side
    316,912.40x = 43,867,550,243.72
  5. Step 5: Solve for x
    x = 43,867,550,243.72/316,912.40
  6. Step 6: Final answer
    x = 138,421.69

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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.