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Finding the Fourth Proportional to 317,191.40, 475,740.78 and 92,491.46

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Solution

The fourth proportional to 317,191.40, 475,740.78 and 92,491.46 is: 138,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,191.40 : 475,740.78 = 92,491.46 : x
  2. Step 2: Convert to fraction form
    317,191.40/475,740.78 = 92,491.46/x
  3. Step 3: Cross multiply
    317,191.40x = 475,740.78 × 92,491.46
  4. Step 4: Simplify right side
    317,191.40x = 44,001,956,945.03
  5. Step 5: Solve for x
    x = 44,001,956,945.03/317,191.40
  6. Step 6: Final answer
    x = 138,723.68

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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.