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Finding the Fourth Proportional to 474,278.38, 654,490.29 and 259,413.83

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Solution

The fourth proportional to 474,278.38, 654,490.29 and 259,413.83 is: 357,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,278.38 : 654,490.29 = 259,413.83 : x
  2. Step 2: Convert to fraction form
    474,278.38/654,490.29 = 259,413.83/x
  3. Step 3: Cross multiply
    474,278.38x = 654,490.29 × 259,413.83
  4. Step 4: Simplify right side
    474,278.38x = 169,783,832,826.71
  5. Step 5: Solve for x
    x = 169,783,832,826.71/474,278.38
  6. Step 6: Final answer
    x = 357,983.50

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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.