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Finding the Fourth Proportional to 422,783.01, 583,446.24 and 231,795.95

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Solution

The fourth proportional to 422,783.01, 583,446.24 and 231,795.95 is: 319,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,783.01 : 583,446.24 = 231,795.95 : x
  2. Step 2: Convert to fraction form
    422,783.01/583,446.24 = 231,795.95/x
  3. Step 3: Cross multiply
    422,783.01x = 583,446.24 × 231,795.95
  4. Step 4: Simplify right side
    422,783.01x = 135,240,472,557.50
  5. Step 5: Solve for x
    x = 135,240,472,557.50/422,783.01
  6. Step 6: Final answer
    x = 319,881.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.