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Finding the Fourth Proportional to 386,952.50, 580,428.66 and 253,802

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Solution

The fourth proportional to 386,952.50, 580,428.66 and 253,802 is: 380,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,952.50 : 580,428.66 = 253,802 : x
  2. Step 2: Convert to fraction form
    386,952.50/580,428.66 = 253,802/x
  3. Step 3: Cross multiply
    386,952.50x = 580,428.66 × 253,802
  4. Step 4: Simplify right side
    386,952.50x = 147,313,954,765.32
  5. Step 5: Solve for x
    x = 147,313,954,765.32/386,952.50
  6. Step 6: Final answer
    x = 380,702.94

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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.