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Finding the Fourth Proportional to 552,231.72, 762,336.54 and 416,320.92

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Solution

The fourth proportional to 552,231.72, 762,336.54 and 416,320.92 is: 574,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,231.72 : 762,336.54 = 416,320.92 : x
  2. Step 2: Convert to fraction form
    552,231.72/762,336.54 = 416,320.92/x
  3. Step 3: Cross multiply
    552,231.72x = 762,336.54 × 416,320.92
  4. Step 4: Simplify right side
    552,231.72x = 317,376,649,682.42
  5. Step 5: Solve for x
    x = 317,376,649,682.42/552,231.72
  6. Step 6: Final answer
    x = 574,716.44

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Double scale
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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.