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Finding the Fourth Proportional to 376,232.46, 564,401.64 and 110,013

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Solution

The fourth proportional to 376,232.46, 564,401.64 and 110,013 is: 165,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,232.46 : 564,401.64 = 110,013 : x
  2. Step 2: Convert to fraction form
    376,232.46/564,401.64 = 110,013/x
  3. Step 3: Cross multiply
    376,232.46x = 564,401.64 × 110,013
  4. Step 4: Simplify right side
    376,232.46x = 62,091,517,621.32
  5. Step 5: Solve for x
    x = 62,091,517,621.32/376,232.46
  6. Step 6: Final answer
    x = 165,034.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.