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Finding the Fourth Proportional to 654,067.36, 902,455.32 and 381,980.80

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Solution

The fourth proportional to 654,067.36, 902,455.32 and 381,980.80 is: 527,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,067.36 : 902,455.32 = 381,980.80 : x
  2. Step 2: Convert to fraction form
    654,067.36/902,455.32 = 381,980.80/x
  3. Step 3: Cross multiply
    654,067.36x = 902,455.32 × 381,980.80
  4. Step 4: Simplify right side
    654,067.36x = 344,720,605,097.86
  5. Step 5: Solve for x
    x = 344,720,605,097.86/654,067.36
  6. Step 6: Final answer
    x = 527,041.44

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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.