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Finding the Fourth Proportional to 295,924.60, 443,595.30 and 146,042.20

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Solution

The fourth proportional to 295,924.60, 443,595.30 and 146,042.20 is: 218,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,924.60 : 443,595.30 = 146,042.20 : x
  2. Step 2: Convert to fraction form
    295,924.60/443,595.30 = 146,042.20/x
  3. Step 3: Cross multiply
    295,924.60x = 443,595.30 × 146,042.20
  4. Step 4: Simplify right side
    295,924.60x = 64,783,633,521.66
  5. Step 5: Solve for x
    x = 64,783,633,521.66/295,924.60
  6. Step 6: Final answer
    x = 218,919.39

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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.