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Finding the Fourth Proportional to 410,511.34, 566,505.99 and 229,223.01

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Solution

The fourth proportional to 410,511.34, 566,505.99 and 229,223.01 is: 316,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,511.34 : 566,505.99 = 229,223.01 : x
  2. Step 2: Convert to fraction form
    410,511.34/566,505.99 = 229,223.01/x
  3. Step 3: Cross multiply
    410,511.34x = 566,505.99 × 229,223.01
  4. Step 4: Simplify right side
    410,511.34x = 129,856,207,064.72
  5. Step 5: Solve for x
    x = 129,856,207,064.72/410,511.34
  6. Step 6: Final answer
    x = 316,327.95

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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.