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Finding the Fourth Proportional to 653,802.94, 980,760.84 and 180,488.38

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Solution

The fourth proportional to 653,802.94, 980,760.84 and 180,488.38 is: 270,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,802.94 : 980,760.84 = 180,488.38 : x
  2. Step 2: Convert to fraction form
    653,802.94/980,760.84 = 180,488.38/x
  3. Step 3: Cross multiply
    653,802.94x = 980,760.84 × 180,488.38
  4. Step 4: Simplify right side
    653,802.94x = 177,015,935,179.04
  5. Step 5: Solve for x
    x = 177,015,935,179.04/653,802.94
  6. Step 6: Final answer
    x = 270,748.15

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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.