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Finding the Fourth Proportional to 583,662.54, 875,520.66 and 178,825.76

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Solution

The fourth proportional to 583,662.54, 875,520.66 and 178,825.76 is: 268,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,662.54 : 875,520.66 = 178,825.76 : x
  2. Step 2: Convert to fraction form
    583,662.54/875,520.66 = 178,825.76/x
  3. Step 3: Cross multiply
    583,662.54x = 875,520.66 × 178,825.76
  4. Step 4: Simplify right side
    583,662.54x = 156,565,647,420.20
  5. Step 5: Solve for x
    x = 156,565,647,420.20/583,662.54
  6. Step 6: Final answer
    x = 268,246.87

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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.