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Finding the Fourth Proportional to 279,758.16, 419,640.17 and 223,953.08

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Solution

The fourth proportional to 279,758.16, 419,640.17 and 223,953.08 is: 335,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,758.16 : 419,640.17 = 223,953.08 : x
  2. Step 2: Convert to fraction form
    279,758.16/419,640.17 = 223,953.08/x
  3. Step 3: Cross multiply
    279,758.16x = 419,640.17 × 223,953.08
  4. Step 4: Simplify right side
    279,758.16x = 93,979,705,345.26
  5. Step 5: Solve for x
    x = 93,979,705,345.26/279,758.16
  6. Step 6: Final answer
    x = 335,931.95

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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.