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Finding the Fourth Proportional to 278,540.10, 417,810.15 and 260,825.40

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Solution

The fourth proportional to 278,540.10, 417,810.15 and 260,825.40 is: 391,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,540.10 : 417,810.15 = 260,825.40 : x
  2. Step 2: Convert to fraction form
    278,540.10/417,810.15 = 260,825.40/x
  3. Step 3: Cross multiply
    278,540.10x = 417,810.15 × 260,825.40
  4. Step 4: Simplify right side
    278,540.10x = 108,975,499,497.81
  5. Step 5: Solve for x
    x = 108,975,499,497.81/278,540.10
  6. Step 6: Final answer
    x = 391,238.10

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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.