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Finding the Fourth Proportional to 491,413.44, 736,681.44 and 191,824.44

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Solution

The fourth proportional to 491,413.44, 736,681.44 and 191,824.44 is: 287,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,413.44 : 736,681.44 = 191,824.44 : x
  2. Step 2: Convert to fraction form
    491,413.44/736,681.44 = 191,824.44/x
  3. Step 3: Cross multiply
    491,413.44x = 736,681.44 × 191,824.44
  4. Step 4: Simplify right side
    491,413.44x = 141,313,504,686.39
  5. Step 5: Solve for x
    x = 141,313,504,686.39/491,413.44
  6. Step 6: Final answer
    x = 287,565.40

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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.