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Finding the Fourth Proportional to 512,087.40, 766,575.90 and 456,100.20

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Solution

The fourth proportional to 512,087.40, 766,575.90 and 456,100.20 is: 682,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,087.40 : 766,575.90 = 456,100.20 : x
  2. Step 2: Convert to fraction form
    512,087.40/766,575.90 = 456,100.20/x
  3. Step 3: Cross multiply
    512,087.40x = 766,575.90 × 456,100.20
  4. Step 4: Simplify right side
    512,087.40x = 349,635,421,305.18
  5. Step 5: Solve for x
    x = 349,635,421,305.18/512,087.40
  6. Step 6: Final answer
    x = 682,765.13

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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.