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Finding the Fourth Proportional to 419,011.12, 578,218.12 and 228,025.27

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Solution

The fourth proportional to 419,011.12, 578,218.12 and 228,025.27 is: 314,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,011.12 : 578,218.12 = 228,025.27 : x
  2. Step 2: Convert to fraction form
    419,011.12/578,218.12 = 228,025.27/x
  3. Step 3: Cross multiply
    419,011.12x = 578,218.12 × 228,025.27
  4. Step 4: Simplify right side
    419,011.12x = 131,848,342,931.89
  5. Step 5: Solve for x
    x = 131,848,342,931.89/419,011.12
  6. Step 6: Final answer
    x = 314,665.50

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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.