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Finding the Fourth Proportional to 309,732.60, 464,413.02 and 107,262

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Solution

The fourth proportional to 309,732.60, 464,413.02 and 107,262 is: 160,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,732.60 : 464,413.02 = 107,262 : x
  2. Step 2: Convert to fraction form
    309,732.60/464,413.02 = 107,262/x
  3. Step 3: Cross multiply
    309,732.60x = 464,413.02 × 107,262
  4. Step 4: Simplify right side
    309,732.60x = 49,813,869,351.24
  5. Step 5: Solve for x
    x = 49,813,869,351.24/309,732.60
  6. Step 6: Final answer
    x = 160,828.63

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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.