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Finding the Fourth Proportional to 457,822.40, 687,511.20 and 339,627.20

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Solution

The fourth proportional to 457,822.40, 687,511.20 and 339,627.20 is: 510,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,822.40 : 687,511.20 = 339,627.20 : x
  2. Step 2: Convert to fraction form
    457,822.40/687,511.20 = 339,627.20/x
  3. Step 3: Cross multiply
    457,822.40x = 687,511.20 × 339,627.20
  4. Step 4: Simplify right side
    457,822.40x = 233,497,503,824.64
  5. Step 5: Solve for x
    x = 233,497,503,824.64/457,822.40
  6. Step 6: Final answer
    x = 510,017.65

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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.