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Finding the Fourth Proportional to 301,452.92, 416,038.08 and 172,403.36

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Solution

The fourth proportional to 301,452.92, 416,038.08 and 172,403.36 is: 237,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,452.92 : 416,038.08 = 172,403.36 : x
  2. Step 2: Convert to fraction form
    301,452.92/416,038.08 = 172,403.36/x
  3. Step 3: Cross multiply
    301,452.92x = 416,038.08 × 172,403.36
  4. Step 4: Simplify right side
    301,452.92x = 71,726,362,879.95
  5. Step 5: Solve for x
    x = 71,726,362,879.95/301,452.92
  6. Step 6: Final answer
    x = 237,935.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.