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Finding the Fourth Proportional to 458,228.30, 632,338.44 and 254,288.12

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Solution

The fourth proportional to 458,228.30, 632,338.44 and 254,288.12 is: 350,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,228.30 : 632,338.44 = 254,288.12 : x
  2. Step 2: Convert to fraction form
    458,228.30/632,338.44 = 254,288.12/x
  3. Step 3: Cross multiply
    458,228.30x = 632,338.44 × 254,288.12
  4. Step 4: Simplify right side
    458,228.30x = 160,796,153,111.33
  5. Step 5: Solve for x
    x = 160,796,153,111.33/458,228.30
  6. Step 6: Final answer
    x = 350,908.39

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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.