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Finding the Fourth Proportional to 598,634.92, 826,114.50 and 330,361

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Solution

The fourth proportional to 598,634.92, 826,114.50 and 330,361 is: 455,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,634.92 : 826,114.50 = 330,361 : x
  2. Step 2: Convert to fraction form
    598,634.92/826,114.50 = 330,361/x
  3. Step 3: Cross multiply
    598,634.92x = 826,114.50 × 330,361
  4. Step 4: Simplify right side
    598,634.92x = 272,916,012,334.50
  5. Step 5: Solve for x
    x = 272,916,012,334.50/598,634.92
  6. Step 6: Final answer
    x = 455,897.25

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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.