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Finding the Fourth Proportional to 410,887.94, 567,024.11 and 229,600.04

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Solution

The fourth proportional to 410,887.94, 567,024.11 and 229,600.04 is: 316,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.94 : 567,024.11 = 229,600.04 : x
  2. Step 2: Convert to fraction form
    410,887.94/567,024.11 = 229,600.04/x
  3. Step 3: Cross multiply
    410,887.94x = 567,024.11 × 229,600.04
  4. Step 4: Simplify right side
    410,887.94x = 130,188,754,353.84
  5. Step 5: Solve for x
    x = 130,188,754,353.84/410,887.94
  6. Step 6: Final answer
    x = 316,847.35

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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.