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Finding the Fourth Proportional to 598,097.60, 825,393.12 and 343,499.84

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Solution

The fourth proportional to 598,097.60, 825,393.12 and 343,499.84 is: 474,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,097.60 : 825,393.12 = 343,499.84 : x
  2. Step 2: Convert to fraction form
    598,097.60/825,393.12 = 343,499.84/x
  3. Step 3: Cross multiply
    598,097.60x = 825,393.12 × 343,499.84
  4. Step 4: Simplify right side
    598,097.60x = 283,522,404,657.10
  5. Step 5: Solve for x
    x = 283,522,404,657.10/598,097.60
  6. Step 6: Final answer
    x = 474,040.37

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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.