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Finding the Fourth Proportional to 410,493.94, 566,491.26 and 229,199.74

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Solution

The fourth proportional to 410,493.94, 566,491.26 and 229,199.74 is: 316,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,493.94 : 566,491.26 = 229,199.74 : x
  2. Step 2: Convert to fraction form
    410,493.94/566,491.26 = 229,199.74/x
  3. Step 3: Cross multiply
    410,493.94x = 566,491.26 × 229,199.74
  4. Step 4: Simplify right side
    410,493.94x = 129,839,649,504.27
  5. Step 5: Solve for x
    x = 129,839,649,504.27/410,493.94
  6. Step 6: Final answer
    x = 316,301.01

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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.