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Finding the Fourth Proportional to 472,451.20, 709,195.20 and 295,158.40

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Solution

The fourth proportional to 472,451.20, 709,195.20 and 295,158.40 is: 443,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,451.20 : 709,195.20 = 295,158.40 : x
  2. Step 2: Convert to fraction form
    472,451.20/709,195.20 = 295,158.40/x
  3. Step 3: Cross multiply
    472,451.20x = 709,195.20 × 295,158.40
  4. Step 4: Simplify right side
    472,451.20x = 209,324,920,519.68
  5. Step 5: Solve for x
    x = 209,324,920,519.68/472,451.20
  6. Step 6: Final answer
    x = 443,061.46

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1.5x scale

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.