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Finding the Fourth Proportional to 462,431.94, 693,227.56 and 177,941.01

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Solution

The fourth proportional to 462,431.94, 693,227.56 and 177,941.01 is: 266,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431.94 : 693,227.56 = 177,941.01 : x
  2. Step 2: Convert to fraction form
    462,431.94/693,227.56 = 177,941.01/x
  3. Step 3: Cross multiply
    462,431.94x = 693,227.56 × 177,941.01
  4. Step 4: Simplify right side
    462,431.94x = 123,353,612,186.24
  5. Step 5: Solve for x
    x = 123,353,612,186.24/462,431.94
  6. Step 6: Final answer
    x = 266,749.77

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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.