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Finding the Fourth Proportional to 363,857.64, 543,228.10 and 278,019.26

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Solution

The fourth proportional to 363,857.64, 543,228.10 and 278,019.26 is: 415,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,857.64 : 543,228.10 = 278,019.26 : x
  2. Step 2: Convert to fraction form
    363,857.64/543,228.10 = 278,019.26/x
  3. Step 3: Cross multiply
    363,857.64x = 543,228.10 × 278,019.26
  4. Step 4: Simplify right side
    363,857.64x = 151,027,871,972.56
  5. Step 5: Solve for x
    x = 151,027,871,972.56/363,857.64
  6. Step 6: Final answer
    x = 415,074.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.