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Finding the Fourth Proportional to 442,972.80, 664,459.20 and 408,758.40

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Solution

The fourth proportional to 442,972.80, 664,459.20 and 408,758.40 is: 613,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,972.80 : 664,459.20 = 408,758.40 : x
  2. Step 2: Convert to fraction form
    442,972.80/664,459.20 = 408,758.40/x
  3. Step 3: Cross multiply
    442,972.80x = 664,459.20 × 408,758.40
  4. Step 4: Simplify right side
    442,972.80x = 271,603,279,457.28
  5. Step 5: Solve for x
    x = 271,603,279,457.28/442,972.80
  6. Step 6: Final answer
    x = 613,137.60

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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.