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Finding the Fourth Proportional to 598,423.16, 825,897.06 and 343,773.80

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Solution

The fourth proportional to 598,423.16, 825,897.06 and 343,773.80 is: 474,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,423.16 : 825,897.06 = 343,773.80 : x
  2. Step 2: Convert to fraction form
    598,423.16/825,897.06 = 343,773.80/x
  3. Step 3: Cross multiply
    598,423.16x = 825,897.06 × 343,773.80
  4. Step 4: Simplify right side
    598,423.16x = 283,921,770,725.03
  5. Step 5: Solve for x
    x = 283,921,770,725.03/598,423.16
  6. Step 6: Final answer
    x = 474,449.84

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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.