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Finding the Fourth Proportional to 410,064.46, 565,889.31 and 228,776.43

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Solution

The fourth proportional to 410,064.46, 565,889.31 and 228,776.43 is: 315,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.46 : 565,889.31 = 228,776.43 : x
  2. Step 2: Convert to fraction form
    410,064.46/565,889.31 = 228,776.43/x
  3. Step 3: Cross multiply
    410,064.46x = 565,889.31 × 228,776.43
  4. Step 4: Simplify right side
    410,064.46x = 129,462,136,116.96
  5. Step 5: Solve for x
    x = 129,462,136,116.96/410,064.46
  6. Step 6: Final answer
    x = 315,711.67

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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.