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Finding the Fourth Proportional to 422,614.40, 583,206.72 and 229,027.47

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Solution

The fourth proportional to 422,614.40, 583,206.72 and 229,027.47 is: 316,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,614.40 : 583,206.72 = 229,027.47 : x
  2. Step 2: Convert to fraction form
    422,614.40/583,206.72 = 229,027.47/x
  3. Step 3: Cross multiply
    422,614.40x = 583,206.72 × 229,027.47
  4. Step 4: Simplify right side
    422,614.40x = 133,570,356,522.72
  5. Step 5: Solve for x
    x = 133,570,356,522.72/422,614.40
  6. Step 6: Final answer
    x = 316,057.28

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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.