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Finding the Fourth Proportional to 409,271.20, 613,906.80 and 379,746.70

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Solution

The fourth proportional to 409,271.20, 613,906.80 and 379,746.70 is: 569,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.20 : 613,906.80 = 379,746.70 : x
  2. Step 2: Convert to fraction form
    409,271.20/613,906.80 = 379,746.70/x
  3. Step 3: Cross multiply
    409,271.20x = 613,906.80 × 379,746.70
  4. Step 4: Simplify right side
    409,271.20x = 233,129,081,407.56
  5. Step 5: Solve for x
    x = 233,129,081,407.56/409,271.20
  6. Step 6: Final answer
    x = 569,620.05

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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.