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Finding the Fourth Proportional to 259,296.75, 357,927.93 and 174,463.02

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Solution

The fourth proportional to 259,296.75, 357,927.93 and 174,463.02 is: 240,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296.75 : 357,927.93 = 174,463.02 : x
  2. Step 2: Convert to fraction form
    259,296.75/357,927.93 = 174,463.02/x
  3. Step 3: Cross multiply
    259,296.75x = 357,927.93 × 174,463.02
  4. Step 4: Simplify right side
    259,296.75x = 62,445,187,610.15
  5. Step 5: Solve for x
    x = 62,445,187,610.15/259,296.75
  6. Step 6: Final answer
    x = 240,825.18

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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.