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Finding the Fourth Proportional to 310,912.56, 466,341.98 and 189,301.52

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Solution

The fourth proportional to 310,912.56, 466,341.98 and 189,301.52 is: 283,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.56 : 466,341.98 = 189,301.52 : x
  2. Step 2: Convert to fraction form
    310,912.56/466,341.98 = 189,301.52/x
  3. Step 3: Cross multiply
    310,912.56x = 466,341.98 × 189,301.52
  4. Step 4: Simplify right side
    310,912.56x = 88,279,245,873.16
  5. Step 5: Solve for x
    x = 88,279,245,873.16/310,912.56
  6. Step 6: Final answer
    x = 283,935.93

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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.