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Finding the Fourth Proportional to 442,966.80, 611,081.64 and 289,937.64

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Solution

The fourth proportional to 442,966.80, 611,081.64 and 289,937.64 is: 399,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,966.80 : 611,081.64 = 289,937.64 : x
  2. Step 2: Convert to fraction form
    442,966.80/611,081.64 = 289,937.64/x
  3. Step 3: Cross multiply
    442,966.80x = 611,081.64 × 289,937.64
  4. Step 4: Simplify right side
    442,966.80x = 177,175,568,548.93
  5. Step 5: Solve for x
    x = 177,175,568,548.93/442,966.80
  6. Step 6: Final answer
    x = 399,974.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.