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Finding the Fourth Proportional to 419,160.14, 578,441.01 and 228,174.92

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Solution

The fourth proportional to 419,160.14, 578,441.01 and 228,174.92 is: 314,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,160.14 : 578,441.01 = 228,174.92 : x
  2. Step 2: Convert to fraction form
    419,160.14/578,441.01 = 228,174.92/x
  3. Step 3: Cross multiply
    419,160.14x = 578,441.01 × 228,174.92
  4. Step 4: Simplify right side
    419,160.14x = 131,985,731,181.47
  5. Step 5: Solve for x
    x = 131,985,731,181.47/419,160.14
  6. Step 6: Final answer
    x = 314,881.40

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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.