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Finding the Fourth Proportional to 409,213.92, 564,743.56 and 248,075.76

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Solution

The fourth proportional to 409,213.92, 564,743.56 and 248,075.76 is: 342,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.92 : 564,743.56 = 248,075.76 : x
  2. Step 2: Convert to fraction form
    409,213.92/564,743.56 = 248,075.76/x
  3. Step 3: Cross multiply
    409,213.92x = 564,743.56 × 248,075.76
  4. Step 4: Simplify right side
    409,213.92x = 140,099,187,852.11
  5. Step 5: Solve for x
    x = 140,099,187,852.11/409,213.92
  6. Step 6: Final answer
    x = 342,361.74

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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.