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Finding the Fourth Proportional to 409,224.84, 564,758.67 and 248,086.68

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Solution

The fourth proportional to 409,224.84, 564,758.67 and 248,086.68 is: 342,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,224.84 : 564,758.67 = 248,086.68 : x
  2. Step 2: Convert to fraction form
    409,224.84/564,758.67 = 248,086.68/x
  3. Step 3: Cross multiply
    409,224.84x = 564,758.67 × 248,086.68
  4. Step 4: Simplify right side
    409,224.84x = 140,109,103,441.52
  5. Step 5: Solve for x
    x = 140,109,103,441.52/409,224.84
  6. Step 6: Final answer
    x = 342,376.83

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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.