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Finding the Fourth Proportional to 442,947.80, 664,421.70 and 408,733.40

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Solution

The fourth proportional to 442,947.80, 664,421.70 and 408,733.40 is: 613,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,947.80 : 664,421.70 = 408,733.40 : x
  2. Step 2: Convert to fraction form
    442,947.80/664,421.70 = 408,733.40/x
  3. Step 3: Cross multiply
    442,947.80x = 664,421.70 × 408,733.40
  4. Step 4: Simplify right side
    442,947.80x = 271,571,340,474.78
  5. Step 5: Solve for x
    x = 271,571,340,474.78/442,947.80
  6. Step 6: Final answer
    x = 613,100.10

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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.