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Finding the Fourth Proportional to 419,139.31, 578,412.32 and 228,152.69

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Solution

The fourth proportional to 419,139.31, 578,412.32 and 228,152.69 is: 314,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139.31 : 578,412.32 = 228,152.69 : x
  2. Step 2: Convert to fraction form
    419,139.31/578,412.32 = 228,152.69/x
  3. Step 3: Cross multiply
    419,139.31x = 578,412.32 × 228,152.69
  4. Step 4: Simplify right side
    419,139.31x = 131,966,326,737.14
  5. Step 5: Solve for x
    x = 131,966,326,737.14/419,139.31
  6. Step 6: Final answer
    x = 314,850.75

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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.