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Finding the Fourth Proportional to 291,952.80, 437,943.60 and 151,984.80

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Solution

The fourth proportional to 291,952.80, 437,943.60 and 151,984.80 is: 227,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.80 : 437,943.60 = 151,984.80 : x
  2. Step 2: Convert to fraction form
    291,952.80/437,943.60 = 151,984.80/x
  3. Step 3: Cross multiply
    291,952.80x = 437,943.60 × 151,984.80
  4. Step 4: Simplify right side
    291,952.80x = 66,560,770,457.28
  5. Step 5: Solve for x
    x = 66,560,770,457.28/291,952.80
  6. Step 6: Final answer
    x = 227,984.70

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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.