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Finding the Fourth Proportional to 409,213.58, 564,743.14 and 248,075.42

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Solution

The fourth proportional to 409,213.58, 564,743.14 and 248,075.42 is: 342,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.58 : 564,743.14 = 248,075.42 : x
  2. Step 2: Convert to fraction form
    409,213.58/564,743.14 = 248,075.42/x
  3. Step 3: Cross multiply
    409,213.58x = 564,743.14 × 248,075.42
  4. Step 4: Simplify right side
    409,213.58x = 140,098,892,439.29
  5. Step 5: Solve for x
    x = 140,098,892,439.29/409,213.58
  6. Step 6: Final answer
    x = 342,361.30

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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.