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Finding the Fourth Proportional to 538,644.65, 743,329.31 and 296,931.25

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Solution

The fourth proportional to 538,644.65, 743,329.31 and 296,931.25 is: 409,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,644.65 : 743,329.31 = 296,931.25 : x
  2. Step 2: Convert to fraction form
    538,644.65/743,329.31 = 296,931.25/x
  3. Step 3: Cross multiply
    538,644.65x = 743,329.31 × 296,931.25
  4. Step 4: Simplify right side
    538,644.65x = 220,717,701,179.94
  5. Step 5: Solve for x
    x = 220,717,701,179.94/538,644.65
  6. Step 6: Final answer
    x = 409,764.96

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