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Finding the Fourth Proportional to 442,048.80, 663,073.20 and 109,624.80

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Solution

The fourth proportional to 442,048.80, 663,073.20 and 109,624.80 is: 164,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,048.80 : 663,073.20 = 109,624.80 : x
  2. Step 2: Convert to fraction form
    442,048.80/663,073.20 = 109,624.80/x
  3. Step 3: Cross multiply
    442,048.80x = 663,073.20 × 109,624.80
  4. Step 4: Simplify right side
    442,048.80x = 72,689,266,935.36
  5. Step 5: Solve for x
    x = 72,689,266,935.36/442,048.80
  6. Step 6: Final answer
    x = 164,437.20

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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.