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Finding the Fourth Proportional to 419,124.32, 578,391 and 228,137.12

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Solution

The fourth proportional to 419,124.32, 578,391 and 228,137.12 is: 314,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,124.32 : 578,391 = 228,137.12 : x
  2. Step 2: Convert to fraction form
    419,124.32/578,391 = 228,137.12/x
  3. Step 3: Cross multiply
    419,124.32x = 578,391 × 228,137.12
  4. Step 4: Simplify right side
    419,124.32x = 131,952,456,973.92
  5. Step 5: Solve for x
    x = 131,952,456,973.92/419,124.32
  6. Step 6: Final answer
    x = 314,828.92

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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.