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Finding the Fourth Proportional to 410,745.27, 566,808.21 and 229,421.10

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Solution

The fourth proportional to 410,745.27, 566,808.21 and 229,421.10 is: 316,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.27 : 566,808.21 = 229,421.10 : x
  2. Step 2: Convert to fraction form
    410,745.27/566,808.21 = 229,421.10/x
  3. Step 3: Cross multiply
    410,745.27x = 566,808.21 × 229,421.10
  4. Step 4: Simplify right side
    410,745.27x = 130,037,763,027.23
  5. Step 5: Solve for x
    x = 130,037,763,027.23/410,745.27
  6. Step 6: Final answer
    x = 316,589.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.