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Finding the Fourth Proportional to 295,235.20, 442,196.70 and 228,458.80

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Solution

The fourth proportional to 295,235.20, 442,196.70 and 228,458.80 is: 342,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,235.20 : 442,196.70 = 228,458.80 : x
  2. Step 2: Convert to fraction form
    295,235.20/442,196.70 = 228,458.80/x
  3. Step 3: Cross multiply
    295,235.20x = 442,196.70 × 228,458.80
  4. Step 4: Simplify right side
    295,235.20x = 101,023,727,445.96
  5. Step 5: Solve for x
    x = 101,023,727,445.96/295,235.20
  6. Step 6: Final answer
    x = 342,180.50

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Why These Related Problems?

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