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Finding the Fourth Proportional to 419,127.48, 578,378.52 and 228,141

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Solution

The fourth proportional to 419,127.48, 578,378.52 and 228,141 is: 314,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,127.48 : 578,378.52 = 228,141 : x
  2. Step 2: Convert to fraction form
    419,127.48/578,378.52 = 228,141/x
  3. Step 3: Cross multiply
    419,127.48x = 578,378.52 × 228,141
  4. Step 4: Simplify right side
    419,127.48x = 131,951,853,931.32
  5. Step 5: Solve for x
    x = 131,951,853,931.32/419,127.48
  6. Step 6: Final answer
    x = 314,825.11

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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.