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Finding the Fourth Proportional to 409,910.77, 610,791.08 and 365,193.91

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Solution

The fourth proportional to 409,910.77, 610,791.08 and 365,193.91 is: 544,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,910.77 : 610,791.08 = 365,193.91 : x
  2. Step 2: Convert to fraction form
    409,910.77/610,791.08 = 365,193.91/x
  3. Step 3: Cross multiply
    409,910.77x = 610,791.08 × 365,193.91
  4. Step 4: Simplify right side
    409,910.77x = 223,057,182,698.32
  5. Step 5: Solve for x
    x = 223,057,182,698.32/409,910.77
  6. Step 6: Final answer
    x = 544,160.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.