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Finding the Fourth Proportional to 301,672.15, 416,262.44 and 172,590.12

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Solution

The fourth proportional to 301,672.15, 416,262.44 and 172,590.12 is: 238,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,672.15 : 416,262.44 = 172,590.12 : x
  2. Step 2: Convert to fraction form
    301,672.15/416,262.44 = 172,590.12/x
  3. Step 3: Cross multiply
    301,672.15x = 416,262.44 × 172,590.12
  4. Step 4: Simplify right side
    301,672.15x = 71,842,783,731.83
  5. Step 5: Solve for x
    x = 71,842,783,731.83/301,672.15
  6. Step 6: Final answer
    x = 238,148.55

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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.