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Finding the Fourth Proportional to 233,163.20, 349,744.80 and 214,792.40

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Solution

The fourth proportional to 233,163.20, 349,744.80 and 214,792.40 is: 322,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,163.20 : 349,744.80 = 214,792.40 : x
  2. Step 2: Convert to fraction form
    233,163.20/349,744.80 = 214,792.40/x
  3. Step 3: Cross multiply
    233,163.20x = 349,744.80 × 214,792.40
  4. Step 4: Simplify right side
    233,163.20x = 75,122,524,979.52
  5. Step 5: Solve for x
    x = 75,122,524,979.52/233,163.20
  6. Step 6: Final answer
    x = 322,188.60

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1.5x scale

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.