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Finding the Fourth Proportional to 409,383.92, 613,327.70 and 296,784.84

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Solution

The fourth proportional to 409,383.92, 613,327.70 and 296,784.84 is: 444,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,383.92 : 613,327.70 = 296,784.84 : x
  2. Step 2: Convert to fraction form
    409,383.92/613,327.70 = 296,784.84/x
  3. Step 3: Cross multiply
    409,383.92x = 613,327.70 × 296,784.84
  4. Step 4: Simplify right side
    409,383.92x = 182,026,363,312.07
  5. Step 5: Solve for x
    x = 182,026,363,312.07/409,383.92
  6. Step 6: Final answer
    x = 444,634.86

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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.