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Finding the Fourth Proportional to 512,193.40, 766,907.70 and 512,193.40

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Solution

The fourth proportional to 512,193.40, 766,907.70 and 512,193.40 is: 766,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,193.40 : 766,907.70 = 512,193.40 : x
  2. Step 2: Convert to fraction form
    512,193.40/766,907.70 = 512,193.40/x
  3. Step 3: Cross multiply
    512,193.40x = 766,907.70 × 512,193.40
  4. Step 4: Simplify right side
    512,193.40x = 392,805,062,349.18
  5. Step 5: Solve for x
    x = 392,805,062,349.18/512,193.40
  6. Step 6: Final answer
    x = 766,907.70

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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.