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Finding the Fourth Proportional to 598,563.87, 826,035.71 and 326,649.31

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Solution

The fourth proportional to 598,563.87, 826,035.71 and 326,649.31 is: 450,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,563.87 : 826,035.71 = 326,649.31 : x
  2. Step 2: Convert to fraction form
    598,563.87/826,035.71 = 326,649.31/x
  3. Step 3: Cross multiply
    598,563.87x = 826,035.71 × 326,649.31
  4. Step 4: Simplify right side
    598,563.87x = 269,823,997,492.38
  5. Step 5: Solve for x
    x = 269,823,997,492.38/598,563.87
  6. Step 6: Final answer
    x = 450,785.64

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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.