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Finding the Fourth Proportional to 653,901.60, 980,864.73 and 180,599.52

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Solution

The fourth proportional to 653,901.60, 980,864.73 and 180,599.52 is: 270,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,901.60 : 980,864.73 = 180,599.52 : x
  2. Step 2: Convert to fraction form
    653,901.60/980,864.73 = 180,599.52/x
  3. Step 3: Cross multiply
    653,901.60x = 980,864.73 × 180,599.52
  4. Step 4: Simplify right side
    653,901.60x = 177,143,699,422.93
  5. Step 5: Solve for x
    x = 177,143,699,422.93/653,901.60
  6. Step 6: Final answer
    x = 270,902.69

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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.