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Finding the Fourth Proportional to 299,543.35, 413,423.22 and 177,030.73

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Solution

The fourth proportional to 299,543.35, 413,423.22 and 177,030.73 is: 244,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,543.35 : 413,423.22 = 177,030.73 : x
  2. Step 2: Convert to fraction form
    299,543.35/413,423.22 = 177,030.73/x
  3. Step 3: Cross multiply
    299,543.35x = 413,423.22 × 177,030.73
  4. Step 4: Simplify right side
    299,543.35x = 73,188,611,483.28
  5. Step 5: Solve for x
    x = 73,188,611,483.28/299,543.35
  6. Step 6: Final answer
    x = 244,333.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.