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Finding the Fourth Proportional to 298,412.10, 447,618.15 and 295,301.70

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Solution

The fourth proportional to 298,412.10, 447,618.15 and 295,301.70 is: 442,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.10 : 447,618.15 = 295,301.70 : x
  2. Step 2: Convert to fraction form
    298,412.10/447,618.15 = 295,301.70/x
  3. Step 3: Cross multiply
    298,412.10x = 447,618.15 × 295,301.70
  4. Step 4: Simplify right side
    298,412.10x = 132,182,400,645.86
  5. Step 5: Solve for x
    x = 132,182,400,645.86/298,412.10
  6. Step 6: Final answer
    x = 442,952.55

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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.