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Finding the Fourth Proportional to 410,469.24, 566,442.21 and 229,184.28

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Solution

The fourth proportional to 410,469.24, 566,442.21 and 229,184.28 is: 316,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,469.24 : 566,442.21 = 229,184.28 : x
  2. Step 2: Convert to fraction form
    410,469.24/566,442.21 = 229,184.28/x
  3. Step 3: Cross multiply
    410,469.24x = 566,442.21 × 229,184.28
  4. Step 4: Simplify right side
    410,469.24x = 129,819,650,060.46
  5. Step 5: Solve for x
    x = 129,819,650,060.46/410,469.24
  6. Step 6: Final answer
    x = 316,271.32

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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.