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Finding the Fourth Proportional to 415,585.25, 623,413.20 and 131,199.71

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Solution

The fourth proportional to 415,585.25, 623,413.20 and 131,199.71 is: 196,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,585.25 : 623,413.20 = 131,199.71 : x
  2. Step 2: Convert to fraction form
    415,585.25/623,413.20 = 131,199.71/x
  3. Step 3: Cross multiply
    415,585.25x = 623,413.20 × 131,199.71
  4. Step 4: Simplify right side
    415,585.25x = 81,791,631,050.17
  5. Step 5: Solve for x
    x = 81,791,631,050.17/415,585.25
  6. Step 6: Final answer
    x = 196,810.72

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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.