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Finding the Fourth Proportional to 410,745.42, 566,822.43 and 229,459.95

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Solution

The fourth proportional to 410,745.42, 566,822.43 and 229,459.95 is: 316,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.42 : 566,822.43 = 229,459.95 : x
  2. Step 2: Convert to fraction form
    410,745.42/566,822.43 = 229,459.95/x
  3. Step 3: Cross multiply
    410,745.42x = 566,822.43 × 229,459.95
  4. Step 4: Simplify right side
    410,745.42x = 130,063,046,446.68
  5. Step 5: Solve for x
    x = 130,063,046,446.68/410,745.42
  6. Step 6: Final answer
    x = 316,651.24

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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.