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Finding the Fourth Proportional to 534,206.64, 800,776.98 and 267,151.80

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Solution

The fourth proportional to 534,206.64, 800,776.98 and 267,151.80 is: 400,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,206.64 : 800,776.98 = 267,151.80 : x
  2. Step 2: Convert to fraction form
    534,206.64/800,776.98 = 267,151.80/x
  3. Step 3: Cross multiply
    534,206.64x = 800,776.98 × 267,151.80
  4. Step 4: Simplify right side
    534,206.64x = 213,929,011,605.56
  5. Step 5: Solve for x
    x = 213,929,011,605.56/534,206.64
  6. Step 6: Final answer
    x = 400,461.16

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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.