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Finding the Fourth Proportional to 515,460.90, 773,005.92 and 178,410

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Solution

The fourth proportional to 515,460.90, 773,005.92 and 178,410 is: 267,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,460.90 : 773,005.92 = 178,410 : x
  2. Step 2: Convert to fraction form
    515,460.90/773,005.92 = 178,410/x
  3. Step 3: Cross multiply
    515,460.90x = 773,005.92 × 178,410
  4. Step 4: Simplify right side
    515,460.90x = 137,911,986,187.20
  5. Step 5: Solve for x
    x = 137,911,986,187.20/515,460.90
  6. Step 6: Final answer
    x = 267,550.82

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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.