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Finding the Fourth Proportional to 252,078.30, 378,117.45 and 224,522.10

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Solution

The fourth proportional to 252,078.30, 378,117.45 and 224,522.10 is: 336,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078.30 : 378,117.45 = 224,522.10 : x
  2. Step 2: Convert to fraction form
    252,078.30/378,117.45 = 224,522.10/x
  3. Step 3: Cross multiply
    252,078.30x = 378,117.45 × 224,522.10
  4. Step 4: Simplify right side
    252,078.30x = 84,895,723,920.65
  5. Step 5: Solve for x
    x = 84,895,723,920.65/252,078.30
  6. Step 6: Final answer
    x = 336,783.15

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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.