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Finding the Fourth Proportional to 376,406.52, 564,756.66 and 165,896.16

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Solution

The fourth proportional to 376,406.52, 564,756.66 and 165,896.16 is: 248,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,406.52 : 564,756.66 = 165,896.16 : x
  2. Step 2: Convert to fraction form
    376,406.52/564,756.66 = 165,896.16/x
  3. Step 3: Cross multiply
    376,406.52x = 564,756.66 × 165,896.16
  4. Step 4: Simplify right side
    376,406.52x = 93,690,961,228.43
  5. Step 5: Solve for x
    x = 93,690,961,228.43/376,406.52
  6. Step 6: Final answer
    x = 248,908.98

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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.