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Finding the Fourth Proportional to 419,089.74, 578,346.24 and 228,102.67

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Solution

The fourth proportional to 419,089.74, 578,346.24 and 228,102.67 is: 314,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,089.74 : 578,346.24 = 228,102.67 : x
  2. Step 2: Convert to fraction form
    419,089.74/578,346.24 = 228,102.67/x
  3. Step 3: Cross multiply
    419,089.74x = 578,346.24 × 228,102.67
  4. Step 4: Simplify right side
    419,089.74x = 131,922,321,528.46
  5. Step 5: Solve for x
    x = 131,922,321,528.46/419,089.74
  6. Step 6: Final answer
    x = 314,782.99

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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.