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Finding the Fourth Proportional to 409,692.06, 565,377.30 and 228,415.32

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Solution

The fourth proportional to 409,692.06, 565,377.30 and 228,415.32 is: 315,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,692.06 : 565,377.30 = 228,415.32 : x
  2. Step 2: Convert to fraction form
    409,692.06/565,377.30 = 228,415.32/x
  3. Step 3: Cross multiply
    409,692.06x = 565,377.30 × 228,415.32
  4. Step 4: Simplify right side
    409,692.06x = 129,140,836,900.24
  5. Step 5: Solve for x
    x = 129,140,836,900.24/409,692.06
  6. Step 6: Final answer
    x = 315,214.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.