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Finding the Fourth Proportional to 422,606.79, 583,196.22 and 229,019.90

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Solution

The fourth proportional to 422,606.79, 583,196.22 and 229,019.90 is: 316,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,606.79 : 583,196.22 = 229,019.90 : x
  2. Step 2: Convert to fraction form
    422,606.79/583,196.22 = 229,019.90/x
  3. Step 3: Cross multiply
    422,606.79x = 583,196.22 × 229,019.90
  4. Step 4: Simplify right side
    422,606.79x = 133,563,537,068.80
  5. Step 5: Solve for x
    x = 133,563,537,068.80/422,606.79
  6. Step 6: Final answer
    x = 316,046.83

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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.