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Finding the Fourth Proportional to 598,410.16, 825,879.04 and 343,760.72

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Solution

The fourth proportional to 598,410.16, 825,879.04 and 343,760.72 is: 474,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,410.16 : 825,879.04 = 343,760.72 : x
  2. Step 2: Convert to fraction form
    598,410.16/825,879.04 = 343,760.72/x
  3. Step 3: Cross multiply
    598,410.16x = 825,879.04 × 343,760.72
  4. Step 4: Simplify right side
    598,410.16x = 283,904,773,423.31
  5. Step 5: Solve for x
    x = 283,904,773,423.31/598,410.16
  6. Step 6: Final answer
    x = 474,431.74

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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.