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Finding the Fourth Proportional to 334,359.37, 461,594.91 and 257,710.48

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Solution

The fourth proportional to 334,359.37, 461,594.91 and 257,710.48 is: 355,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,359.37 : 461,594.91 = 257,710.48 : x
  2. Step 2: Convert to fraction form
    334,359.37/461,594.91 = 257,710.48/x
  3. Step 3: Cross multiply
    334,359.37x = 461,594.91 × 257,710.48
  4. Step 4: Simplify right side
    334,359.37x = 118,957,845,821.66
  5. Step 5: Solve for x
    x = 118,957,845,821.66/334,359.37
  6. Step 6: Final answer
    x = 355,778.41

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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.