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Finding the Fourth Proportional to 278,362.64, 417,171.72 and 144,962.84

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Solution

The fourth proportional to 278,362.64, 417,171.72 and 144,962.84 is: 217,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,362.64 : 417,171.72 = 144,962.84 : x
  2. Step 2: Convert to fraction form
    278,362.64/417,171.72 = 144,962.84/x
  3. Step 3: Cross multiply
    278,362.64x = 417,171.72 × 144,962.84
  4. Step 4: Simplify right side
    278,362.64x = 60,474,397,298.88
  5. Step 5: Solve for x
    x = 60,474,397,298.88/278,362.64
  6. Step 6: Final answer
    x = 217,250.41

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1.5x scale

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.