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Finding the Fourth Proportional to 512,350.40, 767,143.20 and 512,350.40

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Solution

The fourth proportional to 512,350.40, 767,143.20 and 512,350.40 is: 767,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,350.40 : 767,143.20 = 512,350.40 : x
  2. Step 2: Convert to fraction form
    512,350.40/767,143.20 = 512,350.40/x
  3. Step 3: Cross multiply
    512,350.40x = 767,143.20 × 512,350.40
  4. Step 4: Simplify right side
    512,350.40x = 393,046,125,377.28
  5. Step 5: Solve for x
    x = 393,046,125,377.28/512,350.40
  6. Step 6: Final answer
    x = 767,143.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.