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Finding the Fourth Proportional to 598,029.92, 825,275.28 and 326,097.14

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Solution

The fourth proportional to 598,029.92, 825,275.28 and 326,097.14 is: 450,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,029.92 : 825,275.28 = 326,097.14 : x
  2. Step 2: Convert to fraction form
    598,029.92/825,275.28 = 326,097.14/x
  3. Step 3: Cross multiply
    598,029.92x = 825,275.28 × 326,097.14
  4. Step 4: Simplify right side
    598,029.92x = 269,119,908,520.70
  5. Step 5: Solve for x
    x = 269,119,908,520.70/598,029.92
  6. Step 6: Final answer
    x = 450,010.78

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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.