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Finding the Fourth Proportional to 633,727.95, 950,592.61 and 160,413.31

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Solution

The fourth proportional to 633,727.95, 950,592.61 and 160,413.31 is: 240,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,727.95 : 950,592.61 = 160,413.31 : x
  2. Step 2: Convert to fraction form
    633,727.95/950,592.61 = 160,413.31/x
  3. Step 3: Cross multiply
    633,727.95x = 950,592.61 × 160,413.31
  4. Step 4: Simplify right side
    633,727.95x = 152,487,708,420.40
  5. Step 5: Solve for x
    x = 152,487,708,420.40/633,727.95
  6. Step 6: Final answer
    x = 240,620.14

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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.