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Finding the Fourth Proportional to 590,673.75, 815,129.78 and 322,401.75

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Solution

The fourth proportional to 590,673.75, 815,129.78 and 322,401.75 is: 444,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,673.75 : 815,129.78 = 322,401.75 : x
  2. Step 2: Convert to fraction form
    590,673.75/815,129.78 = 322,401.75/x
  3. Step 3: Cross multiply
    590,673.75x = 815,129.78 × 322,401.75
  4. Step 4: Simplify right side
    590,673.75x = 262,799,265,937.11
  5. Step 5: Solve for x
    x = 262,799,265,937.11/590,673.75
  6. Step 6: Final answer
    x = 444,914.42

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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.