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Finding the Fourth Proportional to 349,596.80, 524,414.72 and 100,272

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Solution

The fourth proportional to 349,596.80, 524,414.72 and 100,272 is: 150,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,596.80 : 524,414.72 = 100,272 : x
  2. Step 2: Convert to fraction form
    349,596.80/524,414.72 = 100,272/x
  3. Step 3: Cross multiply
    349,596.80x = 524,414.72 × 100,272
  4. Step 4: Simplify right side
    349,596.80x = 52,584,112,803.84
  5. Step 5: Solve for x
    x = 52,584,112,803.84/349,596.80
  6. Step 6: Final answer
    x = 150,413.60

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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.