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Finding the Fourth Proportional to 379,902.76, 569,350.78 and 202,026.76

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Solution

The fourth proportional to 379,902.76, 569,350.78 and 202,026.76 is: 302,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,902.76 : 569,350.78 = 202,026.76 : x
  2. Step 2: Convert to fraction form
    379,902.76/569,350.78 = 202,026.76/x
  3. Step 3: Cross multiply
    379,902.76x = 569,350.78 × 202,026.76
  4. Step 4: Simplify right side
    379,902.76x = 115,024,093,386.87
  5. Step 5: Solve for x
    x = 115,024,093,386.87/379,902.76
  6. Step 6: Final answer
    x = 302,772.46

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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.