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Finding the Fourth Proportional to 491,413.36, 736,653 and 192,085.84

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Solution

The fourth proportional to 491,413.36, 736,653 and 192,085.84 is: 287,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,413.36 : 736,653 = 192,085.84 : x
  2. Step 2: Convert to fraction form
    491,413.36/736,653 = 192,085.84/x
  3. Step 3: Cross multiply
    491,413.36x = 736,653 × 192,085.84
  4. Step 4: Simplify right side
    491,413.36x = 141,500,610,293.52
  5. Step 5: Solve for x
    x = 141,500,610,293.52/491,413.36
  6. Step 6: Final answer
    x = 287,946.20

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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.