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Finding the Fourth Proportional to 349,413.44, 524,105.40 and 159,764

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Solution

The fourth proportional to 349,413.44, 524,105.40 and 159,764 is: 239,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,413.44 : 524,105.40 = 159,764 : x
  2. Step 2: Convert to fraction form
    349,413.44/524,105.40 = 159,764/x
  3. Step 3: Cross multiply
    349,413.44x = 524,105.40 × 159,764
  4. Step 4: Simplify right side
    349,413.44x = 83,733,175,125.60
  5. Step 5: Solve for x
    x = 83,733,175,125.60/349,413.44
  6. Step 6: Final answer
    x = 239,639.25

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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.