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Finding the Fourth Proportional to 417,692.40, 576,416.04 and 226,705.80

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Solution

The fourth proportional to 417,692.40, 576,416.04 and 226,705.80 is: 312,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.40 : 576,416.04 = 226,705.80 : x
  2. Step 2: Convert to fraction form
    417,692.40/576,416.04 = 226,705.80/x
  3. Step 3: Cross multiply
    417,692.40x = 576,416.04 × 226,705.80
  4. Step 4: Simplify right side
    417,692.40x = 130,676,859,481.03
  5. Step 5: Solve for x
    x = 130,676,859,481.03/417,692.40
  6. Step 6: Final answer
    x = 312,854.29

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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.