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Finding the Fourth Proportional to 301,659.76, 416,362.98 and 172,673.01

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Solution

The fourth proportional to 301,659.76, 416,362.98 and 172,673.01 is: 238,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,659.76 : 416,362.98 = 172,673.01 : x
  2. Step 2: Convert to fraction form
    301,659.76/416,362.98 = 172,673.01/x
  3. Step 3: Cross multiply
    301,659.76x = 416,362.98 × 172,673.01
  4. Step 4: Simplify right side
    301,659.76x = 71,894,647,104.90
  5. Step 5: Solve for x
    x = 71,894,647,104.90/301,659.76
  6. Step 6: Final answer
    x = 238,330.25

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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.