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Finding the Fourth Proportional to 410,225.59, 566,139.69 and 228,972.90

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Solution

The fourth proportional to 410,225.59, 566,139.69 and 228,972.90 is: 315,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,225.59 : 566,139.69 = 228,972.90 : x
  2. Step 2: Convert to fraction form
    410,225.59/566,139.69 = 228,972.90/x
  3. Step 3: Cross multiply
    410,225.59x = 566,139.69 × 228,972.90
  4. Step 4: Simplify right side
    410,225.59x = 129,630,646,624.40
  5. Step 5: Solve for x
    x = 129,630,646,624.40/410,225.59
  6. Step 6: Final answer
    x = 315,998.44

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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.