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Finding the Fourth Proportional to 410,887.95, 567,024.12 and 229,600.05

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Solution

The fourth proportional to 410,887.95, 567,024.12 and 229,600.05 is: 316,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.95 : 567,024.12 = 229,600.05 : x
  2. Step 2: Convert to fraction form
    410,887.95/567,024.12 = 229,600.05/x
  3. Step 3: Cross multiply
    410,887.95x = 567,024.12 × 229,600.05
  4. Step 4: Simplify right side
    410,887.95x = 130,188,766,303.21
  5. Step 5: Solve for x
    x = 130,188,766,303.21/410,887.95
  6. Step 6: Final answer
    x = 316,847.37

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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.