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Finding the Fourth Proportional to 507,383.11, 761,353.31 and 294,411.43

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Solution

The fourth proportional to 507,383.11, 761,353.31 and 294,411.43 is: 441,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,383.11 : 761,353.31 = 294,411.43 : x
  2. Step 2: Convert to fraction form
    507,383.11/761,353.31 = 294,411.43/x
  3. Step 3: Cross multiply
    507,383.11x = 761,353.31 × 294,411.43
  4. Step 4: Simplify right side
    507,383.11x = 224,151,116,732.33
  5. Step 5: Solve for x
    x = 224,151,116,732.33/507,383.11
  6. Step 6: Final answer
    x = 441,778.83

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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.