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Finding the Fourth Proportional to 653,900.10, 980,862.48 and 180,598.02

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Solution

The fourth proportional to 653,900.10, 980,862.48 and 180,598.02 is: 270,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,900.10 : 980,862.48 = 180,598.02 : x
  2. Step 2: Convert to fraction form
    653,900.10/980,862.48 = 180,598.02/x
  3. Step 3: Cross multiply
    653,900.10x = 980,862.48 × 180,598.02
  4. Step 4: Simplify right side
    653,900.10x = 177,141,821,780.29
  5. Step 5: Solve for x
    x = 177,141,821,780.29/653,900.10
  6. Step 6: Final answer
    x = 270,900.44

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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.