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Finding the Fourth Proportional to 298,593.28, 412,058.70 and 164,457.28

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Solution

The fourth proportional to 298,593.28, 412,058.70 and 164,457.28 is: 226,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,593.28 : 412,058.70 = 164,457.28 : x
  2. Step 2: Convert to fraction form
    298,593.28/412,058.70 = 164,457.28/x
  3. Step 3: Cross multiply
    298,593.28x = 412,058.70 × 164,457.28
  4. Step 4: Simplify right side
    298,593.28x = 67,766,053,002.34
  5. Step 5: Solve for x
    x = 67,766,053,002.34/298,593.28
  6. Step 6: Final answer
    x = 226,951.03

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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.