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Finding the Fourth Proportional to 295,904.60, 443,565.30 and 146,022.20

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Solution

The fourth proportional to 295,904.60, 443,565.30 and 146,022.20 is: 218,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,904.60 : 443,565.30 = 146,022.20 : x
  2. Step 2: Convert to fraction form
    295,904.60/443,565.30 = 146,022.20/x
  3. Step 3: Cross multiply
    295,904.60x = 443,565.30 × 146,022.20
  4. Step 4: Simplify right side
    295,904.60x = 64,770,380,949.66
  5. Step 5: Solve for x
    x = 64,770,380,949.66/295,904.60
  6. Step 6: Final answer
    x = 218,889.40

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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.