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Finding the Fourth Proportional to 277,737.61, 383,277.90 and 150,413.20

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Solution

The fourth proportional to 277,737.61, 383,277.90 and 150,413.20 is: 207,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737.61 : 383,277.90 = 150,413.20 : x
  2. Step 2: Convert to fraction form
    277,737.61/383,277.90 = 150,413.20/x
  3. Step 3: Cross multiply
    277,737.61x = 383,277.90 × 150,413.20
  4. Step 4: Simplify right side
    277,737.61x = 57,650,056,767.04
  5. Step 5: Solve for x
    x = 57,650,056,767.04/277,737.61
  6. Step 6: Final answer
    x = 207,570.22

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1.5x scale

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.