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Finding the Fourth Proportional to 800,819.04, 1,201,415.40 and 232,212

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Solution

The fourth proportional to 800,819.04, 1,201,415.40 and 232,212 is: 348,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,819.04 : 1,201,415.40 = 232,212 : x
  2. Step 2: Convert to fraction form
    800,819.04/1,201,415.40 = 232,212/x
  3. Step 3: Cross multiply
    800,819.04x = 1,201,415.40 × 232,212
  4. Step 4: Simplify right side
    800,819.04x = 278,983,072,864.80
  5. Step 5: Solve for x
    x = 278,983,072,864.80/800,819.04
  6. Step 6: Final answer
    x = 348,372.18

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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.