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Finding the Fourth Proportional to 653,899.10, 980,860.98 and 180,597.02

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Solution

The fourth proportional to 653,899.10, 980,860.98 and 180,597.02 is: 270,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,899.10 : 980,860.98 = 180,597.02 : x
  2. Step 2: Convert to fraction form
    653,899.10/980,860.98 = 180,597.02/x
  3. Step 3: Cross multiply
    653,899.10x = 980,860.98 × 180,597.02
  4. Step 4: Simplify right side
    653,899.10x = 177,140,570,022.28
  5. Step 5: Solve for x
    x = 177,140,570,022.28/653,899.10
  6. Step 6: Final answer
    x = 270,898.94

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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.