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Finding the Fourth Proportional to 278,673.18, 418,007.54 and 165,604.60

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Solution

The fourth proportional to 278,673.18, 418,007.54 and 165,604.60 is: 248,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,673.18 : 418,007.54 = 165,604.60 : x
  2. Step 2: Convert to fraction form
    278,673.18/418,007.54 = 165,604.60/x
  3. Step 3: Cross multiply
    278,673.18x = 418,007.54 × 165,604.60
  4. Step 4: Simplify right side
    278,673.18x = 69,223,971,458.68
  5. Step 5: Solve for x
    x = 69,223,971,458.68/278,673.18
  6. Step 6: Final answer
    x = 248,405.57

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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.