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Finding the Fourth Proportional to 363,732.91, 501,931.56 and 200,357.42

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Solution

The fourth proportional to 363,732.91, 501,931.56 and 200,357.42 is: 276,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,732.91 : 501,931.56 = 200,357.42 : x
  2. Step 2: Convert to fraction form
    363,732.91/501,931.56 = 200,357.42/x
  3. Step 3: Cross multiply
    363,732.91x = 501,931.56 × 200,357.42
  4. Step 4: Simplify right side
    363,732.91x = 100,565,712,378.18
  5. Step 5: Solve for x
    x = 100,565,712,378.18/363,732.91
  6. Step 6: Final answer
    x = 276,482.31

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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.