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Finding the Fourth Proportional to 419,197.02, 578,473.74 and 228,211.08

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Solution

The fourth proportional to 419,197.02, 578,473.74 and 228,211.08 is: 314,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,197.02 : 578,473.74 = 228,211.08 : x
  2. Step 2: Convert to fraction form
    419,197.02/578,473.74 = 228,211.08/x
  3. Step 3: Cross multiply
    419,197.02x = 578,473.74 × 228,211.08
  4. Step 4: Simplify right side
    419,197.02x = 132,014,116,957.04
  5. Step 5: Solve for x
    x = 132,014,116,957.04/419,197.02
  6. Step 6: Final answer
    x = 314,921.41

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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.