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Finding the Fourth Proportional to 409,213.65, 564,743.22 and 248,075.49

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Solution

The fourth proportional to 409,213.65, 564,743.22 and 248,075.49 is: 342,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.65 : 564,743.22 = 248,075.49 : x
  2. Step 2: Convert to fraction form
    409,213.65/564,743.22 = 248,075.49/x
  3. Step 3: Cross multiply
    409,213.65x = 564,743.22 × 248,075.49
  4. Step 4: Simplify right side
    409,213.65x = 140,098,951,025.68
  5. Step 5: Solve for x
    x = 140,098,951,025.68/409,213.65
  6. Step 6: Final answer
    x = 342,361.38

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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.