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Finding the Fourth Proportional to 278,564.40, 417,155.40 and 223,268.40

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Solution

The fourth proportional to 278,564.40, 417,155.40 and 223,268.40 is: 334,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,564.40 : 417,155.40 = 223,268.40 : x
  2. Step 2: Convert to fraction form
    278,564.40/417,155.40 = 223,268.40/x
  3. Step 3: Cross multiply
    278,564.40x = 417,155.40 × 223,268.40
  4. Step 4: Simplify right side
    278,564.40x = 93,137,618,709.36
  5. Step 5: Solve for x
    x = 93,137,618,709.36/278,564.40
  6. Step 6: Final answer
    x = 334,348.61

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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.