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Finding the Fourth Proportional to 269,413.40, 404,120.10 and 164,437.40

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Solution

The fourth proportional to 269,413.40, 404,120.10 and 164,437.40 is: 246,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,413.40 : 404,120.10 = 164,437.40 : x
  2. Step 2: Convert to fraction form
    269,413.40/404,120.10 = 164,437.40/x
  3. Step 3: Cross multiply
    269,413.40x = 404,120.10 × 164,437.40
  4. Step 4: Simplify right side
    269,413.40x = 66,452,458,531.74
  5. Step 5: Solve for x
    x = 66,452,458,531.74/269,413.40
  6. Step 6: Final answer
    x = 246,656.10

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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.