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Finding the Fourth Proportional to 598,405.77, 825,718.10 and 343,756.89

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Solution

The fourth proportional to 598,405.77, 825,718.10 and 343,756.89 is: 474,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,405.77 : 825,718.10 = 343,756.89 : x
  2. Step 2: Convert to fraction form
    598,405.77/825,718.10 = 343,756.89/x
  3. Step 3: Cross multiply
    598,405.77x = 825,718.10 × 343,756.89
  4. Step 4: Simplify right side
    598,405.77x = 283,846,284,353.93
  5. Step 5: Solve for x
    x = 283,846,284,353.93/598,405.77
  6. Step 6: Final answer
    x = 474,337.48

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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.