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Finding the Fourth Proportional to 335,012.66, 462,356.78 and 199,047.71

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Solution

The fourth proportional to 335,012.66, 462,356.78 and 199,047.71 is: 274,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,012.66 : 462,356.78 = 199,047.71 : x
  2. Step 2: Convert to fraction form
    335,012.66/462,356.78 = 199,047.71/x
  3. Step 3: Cross multiply
    335,012.66x = 462,356.78 × 199,047.71
  4. Step 4: Simplify right side
    335,012.66x = 92,031,058,422.63
  5. Step 5: Solve for x
    x = 92,031,058,422.63/335,012.66
  6. Step 6: Final answer
    x = 274,709.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.