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Finding the Fourth Proportional to 411,863, 568,380.42 and 230,570.36

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Solution

The fourth proportional to 411,863, 568,380.42 and 230,570.36 is: 318,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,863 : 568,380.42 = 230,570.36 : x
  2. Step 2: Convert to fraction form
    411,863/568,380.42 = 230,570.36/x
  3. Step 3: Cross multiply
    411,863x = 568,380.42 × 230,570.36
  4. Step 4: Simplify right side
    411,863x = 131,051,678,056.35
  5. Step 5: Solve for x
    x = 131,051,678,056.35/411,863
  6. Step 6: Final answer
    x = 318,192.40

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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.