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Finding the Fourth Proportional to 598,860.50, 826,428.21 and 330,588.50

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Solution

The fourth proportional to 598,860.50, 826,428.21 and 330,588.50 is: 456,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,860.50 : 826,428.21 = 330,588.50 : x
  2. Step 2: Convert to fraction form
    598,860.50/826,428.21 = 330,588.50/x
  3. Step 3: Cross multiply
    598,860.50x = 826,428.21 × 330,588.50
  4. Step 4: Simplify right side
    598,860.50x = 273,207,662,301.59
  5. Step 5: Solve for x
    x = 273,207,662,301.59/598,860.50
  6. Step 6: Final answer
    x = 456,212.53

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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.