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Finding the Fourth Proportional to 410,770.11, 566,806.64 and 229,459.61

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Solution

The fourth proportional to 410,770.11, 566,806.64 and 229,459.61 is: 316,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,770.11 : 566,806.64 = 229,459.61 : x
  2. Step 2: Convert to fraction form
    410,770.11/566,806.64 = 229,459.61/x
  3. Step 3: Cross multiply
    410,770.11x = 566,806.64 × 229,459.61
  4. Step 4: Simplify right side
    410,770.11x = 130,059,230,559.81
  5. Step 5: Solve for x
    x = 130,059,230,559.81/410,770.11
  6. Step 6: Final answer
    x = 316,622.92

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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.