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Finding the Fourth Proportional to 301,005.10, 415,328.47 and 178,474.78

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Solution

The fourth proportional to 301,005.10, 415,328.47 and 178,474.78 is: 246,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,005.10 : 415,328.47 = 178,474.78 : x
  2. Step 2: Convert to fraction form
    301,005.10/415,328.47 = 178,474.78/x
  3. Step 3: Cross multiply
    301,005.10x = 415,328.47 × 178,474.78
  4. Step 4: Simplify right side
    301,005.10x = 74,125,657,310.99
  5. Step 5: Solve for x
    x = 74,125,657,310.99/301,005.10
  6. Step 6: Final answer
    x = 246,260.47

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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.