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Finding the Fourth Proportional to 419,226.94, 578,543.58 and 228,250.84

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Solution

The fourth proportional to 419,226.94, 578,543.58 and 228,250.84 is: 314,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,226.94 : 578,543.58 = 228,250.84 : x
  2. Step 2: Convert to fraction form
    419,226.94/578,543.58 = 228,250.84/x
  3. Step 3: Cross multiply
    419,226.94x = 578,543.58 × 228,250.84
  4. Step 4: Simplify right side
    419,226.94x = 132,053,058,111.61
  5. Step 5: Solve for x
    x = 132,053,058,111.61/419,226.94
  6. Step 6: Final answer
    x = 314,991.82

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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.