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Finding the Fourth Proportional to 538,114.20, 805,616.10 and 328,162.20

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Solution

The fourth proportional to 538,114.20, 805,616.10 and 328,162.20 is: 491,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,114.20 : 805,616.10 = 328,162.20 : x
  2. Step 2: Convert to fraction form
    538,114.20/805,616.10 = 328,162.20/x
  3. Step 3: Cross multiply
    538,114.20x = 805,616.10 × 328,162.20
  4. Step 4: Simplify right side
    538,114.20x = 264,372,751,731.42
  5. Step 5: Solve for x
    x = 264,372,751,731.42/538,114.20
  6. Step 6: Final answer
    x = 491,294.88

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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.