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Finding the Fourth Proportional to 458,684.66, 632,993.31 and 254,754.47

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Solution

The fourth proportional to 458,684.66, 632,993.31 and 254,754.47 is: 351,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,684.66 : 632,993.31 = 254,754.47 : x
  2. Step 2: Convert to fraction form
    458,684.66/632,993.31 = 254,754.47/x
  3. Step 3: Cross multiply
    458,684.66x = 632,993.31 × 254,754.47
  4. Step 4: Simplify right side
    458,684.66x = 161,257,872,037.63
  5. Step 5: Solve for x
    x = 161,257,872,037.63/458,684.66
  6. Step 6: Final answer
    x = 351,565.87

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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.