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Finding the Fourth Proportional to 442,258.80, 663,382.08 and 264,814.80

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Solution

The fourth proportional to 442,258.80, 663,382.08 and 264,814.80 is: 397,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,258.80 : 663,382.08 = 264,814.80 : x
  2. Step 2: Convert to fraction form
    442,258.80/663,382.08 = 264,814.80/x
  3. Step 3: Cross multiply
    442,258.80x = 663,382.08 × 264,814.80
  4. Step 4: Simplify right side
    442,258.80x = 175,673,392,838.78
  5. Step 5: Solve for x
    x = 175,673,392,838.78/442,258.80
  6. Step 6: Final answer
    x = 397,218.54

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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.