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Finding the Fourth Proportional to 382,066.76, 527,250.74 and 209,996.34

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Solution

The fourth proportional to 382,066.76, 527,250.74 and 209,996.34 is: 289,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,066.76 : 527,250.74 = 209,996.34 : x
  2. Step 2: Convert to fraction form
    382,066.76/527,250.74 = 209,996.34/x
  3. Step 3: Cross multiply
    382,066.76x = 527,250.74 × 209,996.34
  4. Step 4: Simplify right side
    382,066.76x = 110,720,726,187.28
  5. Step 5: Solve for x
    x = 110,720,726,187.28/382,066.76
  6. Step 6: Final answer
    x = 289,794.19

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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.