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Finding the Fourth Proportional to 295,727.60, 443,008.20 and 177,046.40

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Solution

The fourth proportional to 295,727.60, 443,008.20 and 177,046.40 is: 265,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,727.60 : 443,008.20 = 177,046.40 : x
  2. Step 2: Convert to fraction form
    295,727.60/443,008.20 = 177,046.40/x
  3. Step 3: Cross multiply
    295,727.60x = 443,008.20 × 177,046.40
  4. Step 4: Simplify right side
    295,727.60x = 78,433,006,980.48
  5. Step 5: Solve for x
    x = 78,433,006,980.48/295,727.60
  6. Step 6: Final answer
    x = 265,220.45

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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.