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Finding the Fourth Proportional to 345,609, 518,413.50 and 82,953

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Solution

The fourth proportional to 345,609, 518,413.50 and 82,953 is: 124,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,609 : 518,413.50 = 82,953 : x
  2. Step 2: Convert to fraction form
    345,609/518,413.50 = 82,953/x
  3. Step 3: Cross multiply
    345,609x = 518,413.50 × 82,953
  4. Step 4: Simplify right side
    345,609x = 43,003,955,065.50
  5. Step 5: Solve for x
    x = 43,003,955,065.50/345,609
  6. Step 6: Final answer
    x = 124,429.50

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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.