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Finding the Fourth Proportional to 512,083.80, 768,125.70 and 325,229.40

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Solution

The fourth proportional to 512,083.80, 768,125.70 and 325,229.40 is: 487,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,083.80 : 768,125.70 = 325,229.40 : x
  2. Step 2: Convert to fraction form
    512,083.80/768,125.70 = 325,229.40/x
  3. Step 3: Cross multiply
    512,083.80x = 768,125.70 × 325,229.40
  4. Step 4: Simplify right side
    512,083.80x = 249,817,060,535.58
  5. Step 5: Solve for x
    x = 249,817,060,535.58/512,083.80
  6. Step 6: Final answer
    x = 487,844.10

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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.