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Finding the Fourth Proportional to 653,367.96, 980,119.74 and 180,053.40

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Solution

The fourth proportional to 653,367.96, 980,119.74 and 180,053.40 is: 270,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,367.96 : 980,119.74 = 180,053.40 : x
  2. Step 2: Convert to fraction form
    653,367.96/980,119.74 = 180,053.40/x
  3. Step 3: Cross multiply
    653,367.96x = 980,119.74 × 180,053.40
  4. Step 4: Simplify right side
    653,367.96x = 176,473,891,594.12
  5. Step 5: Solve for x
    x = 176,473,891,594.12/653,367.96
  6. Step 6: Final answer
    x = 270,098.78

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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.