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Finding the Fourth Proportional to 362,617.43, 500,473.69 and 209,748.56

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Solution

The fourth proportional to 362,617.43, 500,473.69 and 209,748.56 is: 289,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,617.43 : 500,473.69 = 209,748.56 : x
  2. Step 2: Convert to fraction form
    362,617.43/500,473.69 = 209,748.56/x
  3. Step 3: Cross multiply
    362,617.43x = 500,473.69 × 209,748.56
  4. Step 4: Simplify right side
    362,617.43x = 104,973,633,948.48
  5. Step 5: Solve for x
    x = 104,973,633,948.48/362,617.43
  6. Step 6: Final answer
    x = 289,488.66

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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.