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Finding the Fourth Proportional to 414,773.42, 572,380.96 and 233,484.78

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Solution

The fourth proportional to 414,773.42, 572,380.96 and 233,484.78 is: 322,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,773.42 : 572,380.96 = 233,484.78 : x
  2. Step 2: Convert to fraction form
    414,773.42/572,380.96 = 233,484.78/x
  3. Step 3: Cross multiply
    414,773.42x = 572,380.96 × 233,484.78
  4. Step 4: Simplify right side
    414,773.42x = 133,642,242,521.79
  5. Step 5: Solve for x
    x = 133,642,242,521.79/414,773.42
  6. Step 6: Final answer
    x = 322,205.42

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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.