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Finding the Fourth Proportional to 463,432.32, 639,550.08 and 262,224

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Solution

The fourth proportional to 463,432.32, 639,550.08 and 262,224 is: 361,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,432.32 : 639,550.08 = 262,224 : x
  2. Step 2: Convert to fraction form
    463,432.32/639,550.08 = 262,224/x
  3. Step 3: Cross multiply
    463,432.32x = 639,550.08 × 262,224
  4. Step 4: Simplify right side
    463,432.32x = 167,705,380,177.92
  5. Step 5: Solve for x
    x = 167,705,380,177.92/463,432.32
  6. Step 6: Final answer
    x = 361,876.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.