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Finding the Fourth Proportional to 301,232.02, 415,696.68 and 173,904.88

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Solution

The fourth proportional to 301,232.02, 415,696.68 and 173,904.88 is: 239,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,232.02 : 415,696.68 = 173,904.88 : x
  2. Step 2: Convert to fraction form
    301,232.02/415,696.68 = 173,904.88/x
  3. Step 3: Cross multiply
    301,232.02x = 415,696.68 × 173,904.88
  4. Step 4: Simplify right side
    301,232.02x = 72,291,681,251.80
  5. Step 5: Solve for x
    x = 72,291,681,251.80/301,232.02
  6. Step 6: Final answer
    x = 239,986.71

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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.