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Finding the Fourth Proportional to 301,653.64, 416,285.44 and 165,690.76

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Solution

The fourth proportional to 301,653.64, 416,285.44 and 165,690.76 is: 228,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,653.64 : 416,285.44 = 165,690.76 : x
  2. Step 2: Convert to fraction form
    301,653.64/416,285.44 = 165,690.76/x
  3. Step 3: Cross multiply
    301,653.64x = 416,285.44 × 165,690.76
  4. Step 4: Simplify right side
    301,653.64x = 68,974,650,930.53
  5. Step 5: Solve for x
    x = 68,974,650,930.53/301,653.64
  6. Step 6: Final answer
    x = 228,655.13

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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.