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Finding the Fourth Proportional to 360,805.02, 541,819.90 and 313,478.34

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Solution

The fourth proportional to 360,805.02, 541,819.90 and 313,478.34 is: 470,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,805.02 : 541,819.90 = 313,478.34 : x
  2. Step 2: Convert to fraction form
    360,805.02/541,819.90 = 313,478.34/x
  3. Step 3: Cross multiply
    360,805.02x = 541,819.90 × 313,478.34
  4. Step 4: Simplify right side
    360,805.02x = 169,848,802,830.97
  5. Step 5: Solve for x
    x = 169,848,802,830.97/360,805.02
  6. Step 6: Final answer
    x = 470,749.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.