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Finding the Fourth Proportional to 538,541.48, 743,191.77 and 296,824.65

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Solution

The fourth proportional to 538,541.48, 743,191.77 and 296,824.65 is: 409,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,541.48 : 743,191.77 = 296,824.65 : x
  2. Step 2: Convert to fraction form
    538,541.48/743,191.77 = 296,824.65/x
  3. Step 3: Cross multiply
    538,541.48x = 743,191.77 × 296,824.65
  4. Step 4: Simplify right side
    538,541.48x = 220,597,637,013.13
  5. Step 5: Solve for x
    x = 220,597,637,013.13/538,541.48
  6. Step 6: Final answer
    x = 409,620.52

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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.