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Finding the Fourth Proportional to 419,213.20, 578,495.08 and 228,226.13

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Solution

The fourth proportional to 419,213.20, 578,495.08 and 228,226.13 is: 314,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,213.20 : 578,495.08 = 228,226.13 : x
  2. Step 2: Convert to fraction form
    419,213.20/578,495.08 = 228,226.13/x
  3. Step 3: Cross multiply
    419,213.20x = 578,495.08 × 228,226.13
  4. Step 4: Simplify right side
    419,213.20x = 132,027,693,332.44
  5. Step 5: Solve for x
    x = 132,027,693,332.44/419,213.20
  6. Step 6: Final answer
    x = 314,941.64

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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.