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Finding the Fourth Proportional to 401,413.68, 602,138.52 and 164,589.84

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Solution

The fourth proportional to 401,413.68, 602,138.52 and 164,589.84 is: 246,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,413.68 : 602,138.52 = 164,589.84 : x
  2. Step 2: Convert to fraction form
    401,413.68/602,138.52 = 164,589.84/x
  3. Step 3: Cross multiply
    401,413.68x = 602,138.52 × 164,589.84
  4. Step 4: Simplify right side
    401,413.68x = 99,105,882,664.64
  5. Step 5: Solve for x
    x = 99,105,882,664.64/401,413.68
  6. Step 6: Final answer
    x = 246,892.14

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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.