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Finding the Fourth Proportional to 298,452.60, 447,711.71 and 98,700.22

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Solution

The fourth proportional to 298,452.60, 447,711.71 and 98,700.22 is: 148,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,452.60 : 447,711.71 = 98,700.22 : x
  2. Step 2: Convert to fraction form
    298,452.60/447,711.71 = 98,700.22/x
  3. Step 3: Cross multiply
    298,452.60x = 447,711.71 × 98,700.22
  4. Step 4: Simplify right side
    298,452.60x = 44,189,244,339.71
  5. Step 5: Solve for x
    x = 44,189,244,339.71/298,452.60
  6. Step 6: Final answer
    x = 148,061.18

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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.