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Finding the Fourth Proportional to 419,178.60, 578,466.56 and 228,191.94

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Solution

The fourth proportional to 419,178.60, 578,466.56 and 228,191.94 is: 314,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,178.60 : 578,466.56 = 228,191.94 : x
  2. Step 2: Convert to fraction form
    419,178.60/578,466.56 = 228,191.94/x
  3. Step 3: Cross multiply
    419,178.60x = 578,466.56 × 228,191.94
  4. Step 4: Simplify right side
    419,178.60x = 132,001,406,551.53
  5. Step 5: Solve for x
    x = 132,001,406,551.53/419,178.60
  6. Step 6: Final answer
    x = 314,904.93

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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.