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Finding the Fourth Proportional to 295,890, 443,946.78 and 177,643.77

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Solution

The fourth proportional to 295,890, 443,946.78 and 177,643.77 is: 266,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,890 : 443,946.78 = 177,643.77 : x
  2. Step 2: Convert to fraction form
    295,890/443,946.78 = 177,643.77/x
  3. Step 3: Cross multiply
    295,890x = 443,946.78 × 177,643.77
  4. Step 4: Simplify right side
    295,890x = 78,864,379,678.56
  5. Step 5: Solve for x
    x = 78,864,379,678.56/295,890
  6. Step 6: Final answer
    x = 266,532.76

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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.