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Finding the Fourth Proportional to 465,467.50, 642,305.70 and 261,502.42

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Solution

The fourth proportional to 465,467.50, 642,305.70 and 261,502.42 is: 360,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,467.50 : 642,305.70 = 261,502.42 : x
  2. Step 2: Convert to fraction form
    465,467.50/642,305.70 = 261,502.42/x
  3. Step 3: Cross multiply
    465,467.50x = 642,305.70 × 261,502.42
  4. Step 4: Simplify right side
    465,467.50x = 167,964,494,929.79
  5. Step 5: Solve for x
    x = 167,964,494,929.79/465,467.50
  6. Step 6: Final answer
    x = 360,851.18

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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.