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Finding the Fourth Proportional to 489,413.80, 734,120.70 and 157,023.40

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Solution

The fourth proportional to 489,413.80, 734,120.70 and 157,023.40 is: 235,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,413.80 : 734,120.70 = 157,023.40 : x
  2. Step 2: Convert to fraction form
    489,413.80/734,120.70 = 157,023.40/x
  3. Step 3: Cross multiply
    489,413.80x = 734,120.70 × 157,023.40
  4. Step 4: Simplify right side
    489,413.80x = 115,274,128,324.38
  5. Step 5: Solve for x
    x = 115,274,128,324.38/489,413.80
  6. Step 6: Final answer
    x = 235,535.10

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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.