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Finding the Fourth Proportional to 417,692.43, 576,415.98 and 226,705.86

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Solution

The fourth proportional to 417,692.43, 576,415.98 and 226,705.86 is: 312,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.43 : 576,415.98 = 226,705.86 : x
  2. Step 2: Convert to fraction form
    417,692.43/576,415.98 = 226,705.86/x
  3. Step 3: Cross multiply
    417,692.43x = 576,415.98 × 226,705.86
  4. Step 4: Simplify right side
    417,692.43x = 130,676,880,463.64
  5. Step 5: Solve for x
    x = 130,676,880,463.64/417,692.43
  6. Step 6: Final answer
    x = 312,854.32

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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.