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Finding the Fourth Proportional to 598,038.17, 825,286.65 and 326,105.38

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Solution

The fourth proportional to 598,038.17, 825,286.65 and 326,105.38 is: 450,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,038.17 : 825,286.65 = 326,105.38 : x
  2. Step 2: Convert to fraction form
    598,038.17/825,286.65 = 326,105.38/x
  3. Step 3: Cross multiply
    598,038.17x = 825,286.65 × 326,105.38
  4. Step 4: Simplify right side
    598,038.17x = 269,130,416,607.18
  5. Step 5: Solve for x
    x = 269,130,416,607.18/598,038.17
  6. Step 6: Final answer
    x = 450,022.14

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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.