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Finding the Fourth Proportional to 653,704.60, 980,613.42 and 180,389.98

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Solution

The fourth proportional to 653,704.60, 980,613.42 and 180,389.98 is: 270,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,704.60 : 980,613.42 = 180,389.98 : x
  2. Step 2: Convert to fraction form
    653,704.60/980,613.42 = 180,389.98/x
  3. Step 3: Cross multiply
    653,704.60x = 980,613.42 × 180,389.98
  4. Step 4: Simplify right side
    653,704.60x = 176,892,835,221.53
  5. Step 5: Solve for x
    x = 176,892,835,221.53/653,704.60
  6. Step 6: Final answer
    x = 270,600.57

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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.