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Finding the Fourth Proportional to 295,906, 443,970.80 and 177,659.84

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Solution

The fourth proportional to 295,906, 443,970.80 and 177,659.84 is: 266,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,906 : 443,970.80 = 177,659.84 : x
  2. Step 2: Convert to fraction form
    295,906/443,970.80 = 177,659.84/x
  3. Step 3: Cross multiply
    295,906x = 443,970.80 × 177,659.84
  4. Step 4: Simplify right side
    295,906x = 78,875,781,292.67
  5. Step 5: Solve for x
    x = 78,875,781,292.67/295,906
  6. Step 6: Final answer
    x = 266,556.88

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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.