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Finding the Fourth Proportional to 362,715.32, 543,923.66 and 157,563.11

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Solution

The fourth proportional to 362,715.32, 543,923.66 and 157,563.11 is: 236,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,715.32 : 543,923.66 = 157,563.11 : x
  2. Step 2: Convert to fraction form
    362,715.32/543,923.66 = 157,563.11/x
  3. Step 3: Cross multiply
    362,715.32x = 543,923.66 × 157,563.11
  4. Step 4: Simplify right side
    362,715.32x = 85,702,299,964.75
  5. Step 5: Solve for x
    x = 85,702,299,964.75/362,715.32
  6. Step 6: Final answer
    x = 236,279.79

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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.