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Finding the Fourth Proportional to 456,893.68, 685,413.96 and 157,300.60

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Solution

The fourth proportional to 456,893.68, 685,413.96 and 157,300.60 is: 235,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,893.68 : 685,413.96 = 157,300.60 : x
  2. Step 2: Convert to fraction form
    456,893.68/685,413.96 = 157,300.60/x
  3. Step 3: Cross multiply
    456,893.68x = 685,413.96 × 157,300.60
  4. Step 4: Simplify right side
    456,893.68x = 107,816,027,156.38
  5. Step 5: Solve for x
    x = 107,816,027,156.38/456,893.68
  6. Step 6: Final answer
    x = 235,976.18

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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.