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Finding the Fourth Proportional to 487,757.84, 731,324.57 and 234,534.02

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Solution

The fourth proportional to 487,757.84, 731,324.57 and 234,534.02 is: 351,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,757.84 : 731,324.57 = 234,534.02 : x
  2. Step 2: Convert to fraction form
    487,757.84/731,324.57 = 234,534.02/x
  3. Step 3: Cross multiply
    487,757.84x = 731,324.57 × 234,534.02
  4. Step 4: Simplify right side
    487,757.84x = 171,520,486,497.58
  5. Step 5: Solve for x
    x = 171,520,486,497.58/487,757.84
  6. Step 6: Final answer
    x = 351,650.91

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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.