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Finding the Fourth Proportional to 301,417.41, 415,766.81 and 178,823.00

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Solution

The fourth proportional to 301,417.41, 415,766.81 and 178,823.00 is: 246,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,417.41 : 415,766.81 = 178,823.00 : x
  2. Step 2: Convert to fraction form
    301,417.41/415,766.81 = 178,823.00/x
  3. Step 3: Cross multiply
    301,417.41x = 415,766.81 × 178,823.00
  4. Step 4: Simplify right side
    301,417.41x = 74,348,665,738.74
  5. Step 5: Solve for x
    x = 74,348,665,738.74/301,417.41
  6. Step 6: Final answer
    x = 246,663.48

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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.