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Finding the Fourth Proportional to 422,673.50, 583,349.10 and 261,580.43

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Solution

The fourth proportional to 422,673.50, 583,349.10 and 261,580.43 is: 361,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,673.50 : 583,349.10 = 261,580.43 : x
  2. Step 2: Convert to fraction form
    422,673.50/583,349.10 = 261,580.43/x
  3. Step 3: Cross multiply
    422,673.50x = 583,349.10 × 261,580.43
  4. Step 4: Simplify right side
    422,673.50x = 152,592,708,418.11
  5. Step 5: Solve for x
    x = 152,592,708,418.11/422,673.50
  6. Step 6: Final answer
    x = 361,017.92

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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.