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Finding the Fourth Proportional to 577,357.24, 866,278.05 and 257,288.59

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Solution

The fourth proportional to 577,357.24, 866,278.05 and 257,288.59 is: 386,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,357.24 : 866,278.05 = 257,288.59 : x
  2. Step 2: Convert to fraction form
    577,357.24/866,278.05 = 257,288.59/x
  3. Step 3: Cross multiply
    577,357.24x = 866,278.05 × 257,288.59
  4. Step 4: Simplify right side
    577,357.24x = 222,883,457,113.17
  5. Step 5: Solve for x
    x = 222,883,457,113.17/577,357.24
  6. Step 6: Final answer
    x = 386,040.81

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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.