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Finding the Fourth Proportional to 376,972.65, 565,404.30 and 110,705.40

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Solution

The fourth proportional to 376,972.65, 565,404.30 and 110,705.40 is: 166,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,972.65 : 565,404.30 = 110,705.40 : x
  2. Step 2: Convert to fraction form
    376,972.65/565,404.30 = 110,705.40/x
  3. Step 3: Cross multiply
    376,972.65x = 565,404.30 × 110,705.40
  4. Step 4: Simplify right side
    376,972.65x = 62,593,309,193.22
  5. Step 5: Solve for x
    x = 62,593,309,193.22/376,972.65
  6. Step 6: Final answer
    x = 166,042.04

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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.