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Finding the Fourth Proportional to 432,413.84, 648,637.16 and 116,870.87

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Solution

The fourth proportional to 432,413.84, 648,637.16 and 116,870.87 is: 175,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,413.84 : 648,637.16 = 116,870.87 : x
  2. Step 2: Convert to fraction form
    432,413.84/648,637.16 = 116,870.87/x
  3. Step 3: Cross multiply
    432,413.84x = 648,637.16 × 116,870.87
  4. Step 4: Simplify right side
    432,413.84x = 75,806,785,375.99
  5. Step 5: Solve for x
    x = 75,806,785,375.99/432,413.84
  6. Step 6: Final answer
    x = 175,310.73

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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.