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Finding the Fourth Proportional to 657,102.14, 985,653.22 and 257,930.90

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Solution

The fourth proportional to 657,102.14, 985,653.22 and 257,930.90 is: 386,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,102.14 : 985,653.22 = 257,930.90 : x
  2. Step 2: Convert to fraction form
    657,102.14/985,653.22 = 257,930.90/x
  3. Step 3: Cross multiply
    657,102.14x = 985,653.22 × 257,930.90
  4. Step 4: Simplify right side
    657,102.14x = 254,230,422,122.50
  5. Step 5: Solve for x
    x = 254,230,422,122.50/657,102.14
  6. Step 6: Final answer
    x = 386,896.35

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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.