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Finding the Fourth Proportional to 411,832, 568,337.76 and 230,539.36

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Solution

The fourth proportional to 411,832, 568,337.76 and 230,539.36 is: 318,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,832 : 568,337.76 = 230,539.36 : x
  2. Step 2: Convert to fraction form
    411,832/568,337.76 = 230,539.36/x
  3. Step 3: Cross multiply
    411,832x = 568,337.76 × 230,539.36
  4. Step 4: Simplify right side
    411,832x = 131,024,223,454.23
  5. Step 5: Solve for x
    x = 131,024,223,454.23/411,832
  6. Step 6: Final answer
    x = 318,149.69

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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.