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Finding the Fourth Proportional to 283,553.18, 425,388.09 and 194,848.46

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Solution

The fourth proportional to 283,553.18, 425,388.09 and 194,848.46 is: 292,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,553.18 : 425,388.09 = 194,848.46 : x
  2. Step 2: Convert to fraction form
    283,553.18/425,388.09 = 194,848.46/x
  3. Step 3: Cross multiply
    283,553.18x = 425,388.09 × 194,848.46
  4. Step 4: Simplify right side
    283,553.18x = 82,886,214,238.84
  5. Step 5: Solve for x
    x = 82,886,214,238.84/283,553.18
  6. Step 6: Final answer
    x = 292,312.77

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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.