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Finding the Fourth Proportional to 598,963.40, 897,132.90 and 520,231.40

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Solution

The fourth proportional to 598,963.40, 897,132.90 and 520,231.40 is: 779,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,963.40 : 897,132.90 = 520,231.40 : x
  2. Step 2: Convert to fraction form
    598,963.40/897,132.90 = 520,231.40/x
  3. Step 3: Cross multiply
    598,963.40x = 897,132.90 × 520,231.40
  4. Step 4: Simplify right side
    598,963.40x = 466,716,704,553.06
  5. Step 5: Solve for x
    x = 466,716,704,553.06/598,963.40
  6. Step 6: Final answer
    x = 779,207.38

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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.