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Finding the Fourth Proportional to 257,584.78, 386,372.85 and 70,596.28

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Solution

The fourth proportional to 257,584.78, 386,372.85 and 70,596.28 is: 105,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.78 : 386,372.85 = 70,596.28 : x
  2. Step 2: Convert to fraction form
    257,584.78/386,372.85 = 70,596.28/x
  3. Step 3: Cross multiply
    257,584.78x = 386,372.85 × 70,596.28
  4. Step 4: Simplify right side
    257,584.78x = 27,276,485,903.00
  5. Step 5: Solve for x
    x = 27,276,485,903.00/257,584.78
  6. Step 6: Final answer
    x = 105,893.24

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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.