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Finding the Fourth Proportional to 386,204.60, 578,432.10 and 228,740.60

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Solution

The fourth proportional to 386,204.60, 578,432.10 and 228,740.60 is: 342,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,204.60 : 578,432.10 = 228,740.60 : x
  2. Step 2: Convert to fraction form
    386,204.60/578,432.10 = 228,740.60/x
  3. Step 3: Cross multiply
    386,204.60x = 578,432.10 × 228,740.60
  4. Step 4: Simplify right side
    386,204.60x = 132,310,905,613.26
  5. Step 5: Solve for x
    x = 132,310,905,613.26/386,204.60
  6. Step 6: Final answer
    x = 342,592.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.