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Finding the Fourth Proportional to 354,144.59, 531,373.67 and 185,624.85

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Solution

The fourth proportional to 354,144.59, 531,373.67 and 185,624.85 is: 278,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,144.59 : 531,373.67 = 185,624.85 : x
  2. Step 2: Convert to fraction form
    354,144.59/531,373.67 = 185,624.85/x
  3. Step 3: Cross multiply
    354,144.59x = 531,373.67 × 185,624.85
  4. Step 4: Simplify right side
    354,144.59x = 98,636,158,251.76
  5. Step 5: Solve for x
    x = 98,636,158,251.76/354,144.59
  6. Step 6: Final answer
    x = 278,519.46

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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.