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Finding the Fourth Proportional to 465,353.01, 642,256.58 and 284,169.98

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Solution

The fourth proportional to 465,353.01, 642,256.58 and 284,169.98 is: 392,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,353.01 : 642,256.58 = 284,169.98 : x
  2. Step 2: Convert to fraction form
    465,353.01/642,256.58 = 284,169.98/x
  3. Step 3: Cross multiply
    465,353.01x = 642,256.58 × 284,169.98
  4. Step 4: Simplify right side
    465,353.01x = 182,510,041,809.54
  5. Step 5: Solve for x
    x = 182,510,041,809.54/465,353.01
  6. Step 6: Final answer
    x = 392,196.97

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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.