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Finding the Fourth Proportional to 469,882.42, 648,438.37 and 255,022.48

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Solution

The fourth proportional to 469,882.42, 648,438.37 and 255,022.48 is: 351,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,882.42 : 648,438.37 = 255,022.48 : x
  2. Step 2: Convert to fraction form
    469,882.42/648,438.37 = 255,022.48/x
  3. Step 3: Cross multiply
    469,882.42x = 648,438.37 × 255,022.48
  4. Step 4: Simplify right side
    469,882.42x = 165,366,361,649.34
  5. Step 5: Solve for x
    x = 165,366,361,649.34/469,882.42
  6. Step 6: Final answer
    x = 351,931.37

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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.