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Finding the Fourth Proportional to 410,887.73, 567,023.86 and 229,599.84

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Solution

The fourth proportional to 410,887.73, 567,023.86 and 229,599.84 is: 316,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.73 : 567,023.86 = 229,599.84 : x
  2. Step 2: Convert to fraction form
    410,887.73/567,023.86 = 229,599.84/x
  3. Step 3: Cross multiply
    410,887.73x = 567,023.86 × 229,599.84
  4. Step 4: Simplify right side
    410,887.73x = 130,188,587,532.18
  5. Step 5: Solve for x
    x = 130,188,587,532.18/410,887.73
  6. Step 6: Final answer
    x = 316,847.10

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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.