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Finding the Fourth Proportional to 402,095.26, 554,853.27 and 240,920.38

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Solution

The fourth proportional to 402,095.26, 554,853.27 and 240,920.38 is: 332,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,095.26 : 554,853.27 = 240,920.38 : x
  2. Step 2: Convert to fraction form
    402,095.26/554,853.27 = 240,920.38/x
  3. Step 3: Cross multiply
    402,095.26x = 554,853.27 × 240,920.38
  4. Step 4: Simplify right side
    402,095.26x = 133,675,460,652.64
  5. Step 5: Solve for x
    x = 133,675,460,652.64/402,095.26
  6. Step 6: Final answer
    x = 332,447.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.