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Finding the Fourth Proportional to 410,846.16, 566,957.10 and 229,559.58

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Solution

The fourth proportional to 410,846.16, 566,957.10 and 229,559.58 is: 316,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846.16 : 566,957.10 = 229,559.58 : x
  2. Step 2: Convert to fraction form
    410,846.16/566,957.10 = 229,559.58/x
  3. Step 3: Cross multiply
    410,846.16x = 566,957.10 × 229,559.58
  4. Step 4: Simplify right side
    410,846.16x = 130,150,433,754.02
  5. Step 5: Solve for x
    x = 130,150,433,754.02/410,846.16
  6. Step 6: Final answer
    x = 316,786.30

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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.