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Finding the Fourth Proportional to 538,531.61, 743,178.15 and 296,814.80

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Solution

The fourth proportional to 538,531.61, 743,178.15 and 296,814.80 is: 409,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,531.61 : 743,178.15 = 296,814.80 : x
  2. Step 2: Convert to fraction form
    538,531.61/743,178.15 = 296,814.80/x
  3. Step 3: Cross multiply
    538,531.61x = 743,178.15 × 296,814.80
  4. Step 4: Simplify right side
    538,531.61x = 220,586,275,814.57
  5. Step 5: Solve for x
    x = 220,586,275,814.57/538,531.61
  6. Step 6: Final answer
    x = 409,606.92

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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.