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Finding the Fourth Proportional to 410,098.68, 565,979.94 and 228,873.60

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Solution

The fourth proportional to 410,098.68, 565,979.94 and 228,873.60 is: 315,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,098.68 : 565,979.94 = 228,873.60 : x
  2. Step 2: Convert to fraction form
    410,098.68/565,979.94 = 228,873.60/x
  3. Step 3: Cross multiply
    410,098.68x = 565,979.94 × 228,873.60
  4. Step 4: Simplify right side
    410,098.68x = 129,537,866,395.58
  5. Step 5: Solve for x
    x = 129,537,866,395.58/410,098.68
  6. Step 6: Final answer
    x = 315,869.99

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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.