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Finding the Fourth Proportional to 410,847.16, 566,958.48 and 229,560.58

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Solution

The fourth proportional to 410,847.16, 566,958.48 and 229,560.58 is: 316,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.16 : 566,958.48 = 229,560.58 : x
  2. Step 2: Convert to fraction form
    410,847.16/566,958.48 = 229,560.58/x
  3. Step 3: Cross multiply
    410,847.16x = 566,958.48 × 229,560.58
  4. Step 4: Simplify right side
    410,847.16x = 130,151,314,669.93
  5. Step 5: Solve for x
    x = 130,151,314,669.93/410,847.16
  6. Step 6: Final answer
    x = 316,787.67

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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.