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Finding the Fourth Proportional to 410,911.79, 567,418.97 and 258,214.53

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Solution

The fourth proportional to 410,911.79, 567,418.97 and 258,214.53 is: 356,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,911.79 : 567,418.97 = 258,214.53 : x
  2. Step 2: Convert to fraction form
    410,911.79/567,418.97 = 258,214.53/x
  3. Step 3: Cross multiply
    410,911.79x = 567,418.97 × 258,214.53
  4. Step 4: Simplify right side
    410,911.79x = 146,515,825,424.99
  5. Step 5: Solve for x
    x = 146,515,825,424.99/410,911.79
  6. Step 6: Final answer
    x = 356,562.72

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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.