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Finding the Fourth Proportional to 301,384.32, 415,926.72 and 167,251.20

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Solution

The fourth proportional to 301,384.32, 415,926.72 and 167,251.20 is: 230,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,384.32 : 415,926.72 = 167,251.20 : x
  2. Step 2: Convert to fraction form
    301,384.32/415,926.72 = 167,251.20/x
  3. Step 3: Cross multiply
    301,384.32x = 415,926.72 × 167,251.20
  4. Step 4: Simplify right side
    301,384.32x = 69,564,243,032.06
  5. Step 5: Solve for x
    x = 69,564,243,032.06/301,384.32
  6. Step 6: Final answer
    x = 230,815.73

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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.