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Finding the Fourth Proportional to 434,942.46, 600,482.97 and 284,301.90

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Solution

The fourth proportional to 434,942.46, 600,482.97 and 284,301.90 is: 392,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,942.46 : 600,482.97 = 284,301.90 : x
  2. Step 2: Convert to fraction form
    434,942.46/600,482.97 = 284,301.90/x
  3. Step 3: Cross multiply
    434,942.46x = 600,482.97 × 284,301.90
  4. Step 4: Simplify right side
    434,942.46x = 170,718,449,288.64
  5. Step 5: Solve for x
    x = 170,718,449,288.64/434,942.46
  6. Step 6: Final answer
    x = 392,508.12

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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.