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Finding the Fourth Proportional to 419,192.88, 578,486.24 and 228,207.70

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Solution

The fourth proportional to 419,192.88, 578,486.24 and 228,207.70 is: 314,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,192.88 : 578,486.24 = 228,207.70 : x
  2. Step 2: Convert to fraction form
    419,192.88/578,486.24 = 228,207.70/x
  3. Step 3: Cross multiply
    419,192.88x = 578,486.24 × 228,207.70
  4. Step 4: Simplify right side
    419,192.88x = 132,015,014,312.05
  5. Step 5: Solve for x
    x = 132,015,014,312.05/419,192.88
  6. Step 6: Final answer
    x = 314,926.66

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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.