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Finding the Fourth Proportional to 394,413.40, 591,620.10 and 194,829.40

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Solution

The fourth proportional to 394,413.40, 591,620.10 and 194,829.40 is: 292,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,413.40 : 591,620.10 = 194,829.40 : x
  2. Step 2: Convert to fraction form
    394,413.40/591,620.10 = 194,829.40/x
  3. Step 3: Cross multiply
    394,413.40x = 591,620.10 × 194,829.40
  4. Step 4: Simplify right side
    394,413.40x = 115,264,989,110.94
  5. Step 5: Solve for x
    x = 115,264,989,110.94/394,413.40
  6. Step 6: Final answer
    x = 292,244.10

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1.5x scale

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.