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Finding the Fourth Proportional to 376,624.80, 564,946.56 and 110,357.28

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Solution

The fourth proportional to 376,624.80, 564,946.56 and 110,357.28 is: 165,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,624.80 : 564,946.56 = 110,357.28 : x
  2. Step 2: Convert to fraction form
    376,624.80/564,946.56 = 110,357.28/x
  3. Step 3: Cross multiply
    376,624.80x = 564,946.56 × 110,357.28
  4. Step 4: Simplify right side
    376,624.80x = 62,345,965,706.96
  5. Step 5: Solve for x
    x = 62,345,965,706.96/376,624.80
  6. Step 6: Final answer
    x = 165,538.66

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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.