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Finding the Fourth Proportional to 419,212.44, 578,525.28 and 228,229.08

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Solution

The fourth proportional to 419,212.44, 578,525.28 and 228,229.08 is: 314,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,212.44 : 578,525.28 = 228,229.08 : x
  2. Step 2: Convert to fraction form
    419,212.44/578,525.28 = 228,229.08/x
  3. Step 3: Cross multiply
    419,212.44x = 578,525.28 × 228,229.08
  4. Step 4: Simplify right side
    419,212.44x = 132,036,292,411.14
  5. Step 5: Solve for x
    x = 132,036,292,411.14/419,212.44
  6. Step 6: Final answer
    x = 314,962.72

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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.