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Finding the Fourth Proportional to 269,471.99, 402,994.70 and 239,661.47

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Solution

The fourth proportional to 269,471.99, 402,994.70 and 239,661.47 is: 358,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,471.99 : 402,994.70 = 239,661.47 : x
  2. Step 2: Convert to fraction form
    269,471.99/402,994.70 = 239,661.47/x
  3. Step 3: Cross multiply
    269,471.99x = 402,994.70 × 239,661.47
  4. Step 4: Simplify right side
    269,471.99x = 96,582,299,889.66
  5. Step 5: Solve for x
    x = 96,582,299,889.66/269,471.99
  6. Step 6: Final answer
    x = 358,413.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.