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Finding the Fourth Proportional to 414,805.43, 572,442.57 and 233,524.24

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Solution

The fourth proportional to 414,805.43, 572,442.57 and 233,524.24 is: 322,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,805.43 : 572,442.57 = 233,524.24 : x
  2. Step 2: Convert to fraction form
    414,805.43/572,442.57 = 233,524.24/x
  3. Step 3: Cross multiply
    414,805.43x = 572,442.57 × 233,524.24
  4. Step 4: Simplify right side
    414,805.43x = 133,679,216,102.90
  5. Step 5: Solve for x
    x = 133,679,216,102.90/414,805.43
  6. Step 6: Final answer
    x = 322,269.69

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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.