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Finding the Fourth Proportional to 469,568.22, 704,326.41 and 343,337.82

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Solution

The fourth proportional to 469,568.22, 704,326.41 and 343,337.82 is: 514,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,568.22 : 704,326.41 = 343,337.82 : x
  2. Step 2: Convert to fraction form
    469,568.22/704,326.41 = 343,337.82/x
  3. Step 3: Cross multiply
    469,568.22x = 704,326.41 × 343,337.82
  4. Step 4: Simplify right side
    469,568.22x = 241,821,894,177.83
  5. Step 5: Solve for x
    x = 241,821,894,177.83/469,568.22
  6. Step 6: Final answer
    x = 514,987.78

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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.