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Finding the Fourth Proportional to 558,180.76, 770,354.40 and 313,233

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Solution

The fourth proportional to 558,180.76, 770,354.40 and 313,233 is: 432,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,180.76 : 770,354.40 = 313,233 : x
  2. Step 2: Convert to fraction form
    558,180.76/770,354.40 = 313,233/x
  3. Step 3: Cross multiply
    558,180.76x = 770,354.40 × 313,233
  4. Step 4: Simplify right side
    558,180.76x = 241,300,419,775.20
  5. Step 5: Solve for x
    x = 241,300,419,775.20/558,180.76
  6. Step 6: Final answer
    x = 432,297.99

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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.