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Finding the Fourth Proportional to 410,752.30, 569,738.10 and 399,828.23

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Solution

The fourth proportional to 410,752.30, 569,738.10 and 399,828.23 is: 554,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.30 : 569,738.10 = 399,828.23 : x
  2. Step 2: Convert to fraction form
    410,752.30/569,738.10 = 399,828.23/x
  3. Step 3: Cross multiply
    410,752.30x = 569,738.10 × 399,828.23
  4. Step 4: Simplify right side
    410,752.30x = 227,797,374,087.42
  5. Step 5: Solve for x
    x = 227,797,374,087.42/410,752.30
  6. Step 6: Final answer
    x = 554,585.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.