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Finding the Fourth Proportional to 242,905.84, 364,369.70 and 74,413.92

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Solution

The fourth proportional to 242,905.84, 364,369.70 and 74,413.92 is: 111,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,905.84 : 364,369.70 = 74,413.92 : x
  2. Step 2: Convert to fraction form
    242,905.84/364,369.70 = 74,413.92/x
  3. Step 3: Cross multiply
    242,905.84x = 364,369.70 × 74,413.92
  4. Step 4: Simplify right side
    242,905.84x = 27,114,177,706.22
  5. Step 5: Solve for x
    x = 27,114,177,706.22/242,905.84
  6. Step 6: Final answer
    x = 111,624.23

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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.