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Finding the Fourth Proportional to 410,063.22, 565,887.59 and 228,775.18

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Solution

The fourth proportional to 410,063.22, 565,887.59 and 228,775.18 is: 315,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,063.22 : 565,887.59 = 228,775.18 : x
  2. Step 2: Convert to fraction form
    410,063.22/565,887.59 = 228,775.18/x
  3. Step 3: Cross multiply
    410,063.22x = 565,887.59 × 228,775.18
  4. Step 4: Simplify right side
    410,063.22x = 129,461,035,262.02
  5. Step 5: Solve for x
    x = 129,461,035,262.02/410,063.22
  6. Step 6: Final answer
    x = 315,709.95

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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.