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Finding the Fourth Proportional to 597,952.17, 825,180.44 and 326,017.85

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Solution

The fourth proportional to 597,952.17, 825,180.44 and 326,017.85 is: 449,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,952.17 : 825,180.44 = 326,017.85 : x
  2. Step 2: Convert to fraction form
    597,952.17/825,180.44 = 326,017.85/x
  3. Step 3: Cross multiply
    597,952.17x = 825,180.44 × 326,017.85
  4. Step 4: Simplify right side
    597,952.17x = 269,023,547,154.86
  5. Step 5: Solve for x
    x = 269,023,547,154.86/597,952.17
  6. Step 6: Final answer
    x = 449,908.14

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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.