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Finding the Fourth Proportional to 386,053.10, 578,809.65 and 228,200.30

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Solution

The fourth proportional to 386,053.10, 578,809.65 and 228,200.30 is: 342,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,053.10 : 578,809.65 = 228,200.30 : x
  2. Step 2: Convert to fraction form
    386,053.10/578,809.65 = 228,200.30/x
  3. Step 3: Cross multiply
    386,053.10x = 578,809.65 × 228,200.30
  4. Step 4: Simplify right side
    386,053.10x = 132,084,535,772.90
  5. Step 5: Solve for x
    x = 132,084,535,772.90/386,053.10
  6. Step 6: Final answer
    x = 342,140.85

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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.