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Finding the Fourth Proportional to 442,437, 663,658.08 and 110,013

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Solution

The fourth proportional to 442,437, 663,658.08 and 110,013 is: 165,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,437 : 663,658.08 = 110,013 : x
  2. Step 2: Convert to fraction form
    442,437/663,658.08 = 110,013/x
  3. Step 3: Cross multiply
    442,437x = 663,658.08 × 110,013
  4. Step 4: Simplify right side
    442,437x = 73,011,016,355.04
  5. Step 5: Solve for x
    x = 73,011,016,355.04/442,437
  6. Step 6: Final answer
    x = 165,020.14

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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.