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Finding the Fourth Proportional to 422,698.95, 583,331.63 and 229,112.82

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Solution

The fourth proportional to 422,698.95, 583,331.63 and 229,112.82 is: 316,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,698.95 : 583,331.63 = 229,112.82 : x
  2. Step 2: Convert to fraction form
    422,698.95/583,331.63 = 229,112.82/x
  3. Step 3: Cross multiply
    422,698.95x = 583,331.63 × 229,112.82
  4. Step 4: Simplify right side
    422,698.95x = 133,648,753,598.93
  5. Step 5: Solve for x
    x = 133,648,753,598.93/422,698.95
  6. Step 6: Final answer
    x = 316,179.53

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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.