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Finding the Fourth Proportional to 301,924.62, 416,646.98 and 172,858.82

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Solution

The fourth proportional to 301,924.62, 416,646.98 and 172,858.82 is: 238,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,924.62 : 416,646.98 = 172,858.82 : x
  2. Step 2: Convert to fraction form
    301,924.62/416,646.98 = 172,858.82/x
  3. Step 3: Cross multiply
    301,924.62x = 416,646.98 × 172,858.82
  4. Step 4: Simplify right side
    301,924.62x = 72,021,105,319.36
  5. Step 5: Solve for x
    x = 72,021,105,319.36/301,924.62
  6. Step 6: Final answer
    x = 238,540.02

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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.