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Finding the Fourth Proportional to 369,687.52, 510,049.21 and 206,317.71

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Solution

The fourth proportional to 369,687.52, 510,049.21 and 206,317.71 is: 284,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,687.52 : 510,049.21 = 206,317.71 : x
  2. Step 2: Convert to fraction form
    369,687.52/510,049.21 = 206,317.71/x
  3. Step 3: Cross multiply
    369,687.52x = 510,049.21 × 206,317.71
  4. Step 4: Simplify right side
    369,687.52x = 105,232,184,994.51
  5. Step 5: Solve for x
    x = 105,232,184,994.51/369,687.52
  6. Step 6: Final answer
    x = 284,651.71

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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.