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Finding the Fourth Proportional to 311,290.11, 466,951.95 and 98,074.79

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Solution

The fourth proportional to 311,290.11, 466,951.95 and 98,074.79 is: 147,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,290.11 : 466,951.95 = 98,074.79 : x
  2. Step 2: Convert to fraction form
    311,290.11/466,951.95 = 98,074.79/x
  3. Step 3: Cross multiply
    311,290.11x = 466,951.95 × 98,074.79
  4. Step 4: Simplify right side
    311,290.11x = 45,796,214,436.34
  5. Step 5: Solve for x
    x = 45,796,214,436.34/311,290.11
  6. Step 6: Final answer
    x = 147,117.47

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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.