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Finding the Fourth Proportional to 375,767.50, 518,559.18 and 206,002.84

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Solution

The fourth proportional to 375,767.50, 518,559.18 and 206,002.84 is: 284,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,767.50 : 518,559.18 = 206,002.84 : x
  2. Step 2: Convert to fraction form
    375,767.50/518,559.18 = 206,002.84/x
  3. Step 3: Cross multiply
    375,767.50x = 518,559.18 × 206,002.84
  4. Step 4: Simplify right side
    375,767.50x = 106,824,663,788.07
  5. Step 5: Solve for x
    x = 106,824,663,788.07/375,767.50
  6. Step 6: Final answer
    x = 284,283.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.