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Finding the Fourth Proportional to 577,796.36, 866,899.82 and 257,919.24

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Solution

The fourth proportional to 577,796.36, 866,899.82 and 257,919.24 is: 386,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,796.36 : 866,899.82 = 257,919.24 : x
  2. Step 2: Convert to fraction form
    577,796.36/866,899.82 = 257,919.24/x
  3. Step 3: Cross multiply
    577,796.36x = 866,899.82 × 257,919.24
  4. Step 4: Simplify right side
    577,796.36x = 223,590,142,730.54
  5. Step 5: Solve for x
    x = 223,590,142,730.54/577,796.36
  6. Step 6: Final answer
    x = 386,970.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.