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Finding the Fourth Proportional to 493,413.52, 681,038.23 and 321,759.53

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Solution

The fourth proportional to 493,413.52, 681,038.23 and 321,759.53 is: 444,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,413.52 : 681,038.23 = 321,759.53 : x
  2. Step 2: Convert to fraction form
    493,413.52/681,038.23 = 321,759.53/x
  3. Step 3: Cross multiply
    493,413.52x = 681,038.23 × 321,759.53
  4. Step 4: Simplify right side
    493,413.52x = 219,130,541,021.38
  5. Step 5: Solve for x
    x = 219,130,541,021.38/493,413.52
  6. Step 6: Final answer
    x = 444,111.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.