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Finding the Fourth Proportional to 442,901.90, 664,352.85 and 162,382.70

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Solution

The fourth proportional to 442,901.90, 664,352.85 and 162,382.70 is: 243,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,901.90 : 664,352.85 = 162,382.70 : x
  2. Step 2: Convert to fraction form
    442,901.90/664,352.85 = 162,382.70/x
  3. Step 3: Cross multiply
    442,901.90x = 664,352.85 × 162,382.70
  4. Step 4: Simplify right side
    442,901.90x = 107,879,409,535.70
  5. Step 5: Solve for x
    x = 107,879,409,535.70/442,901.90
  6. Step 6: Final answer
    x = 243,574.05

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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.