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Finding the Fourth Proportional to 508,078.89, 701,206.61 and 293,276.61

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Solution

The fourth proportional to 508,078.89, 701,206.61 and 293,276.61 is: 404,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,078.89 : 701,206.61 = 293,276.61 : x
  2. Step 2: Convert to fraction form
    508,078.89/701,206.61 = 293,276.61/x
  3. Step 3: Cross multiply
    508,078.89x = 701,206.61 × 293,276.61
  4. Step 4: Simplify right side
    508,078.89x = 205,647,496,024.01
  5. Step 5: Solve for x
    x = 205,647,496,024.01/508,078.89
  6. Step 6: Final answer
    x = 404,755.05

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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.