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Finding the Fourth Proportional to 419,710.68, 579,200.82 and 228,724.10

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Solution

The fourth proportional to 419,710.68, 579,200.82 and 228,724.10 is: 315,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,710.68 : 579,200.82 = 228,724.10 : x
  2. Step 2: Convert to fraction form
    419,710.68/579,200.82 = 228,724.10/x
  3. Step 3: Cross multiply
    419,710.68x = 579,200.82 × 228,724.10
  4. Step 4: Simplify right side
    419,710.68x = 132,477,186,273.76
  5. Step 5: Solve for x
    x = 132,477,186,273.76/419,710.68
  6. Step 6: Final answer
    x = 315,639.30

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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.