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Finding the Fourth Proportional to 357,905.60, 493,919.16 and 194,573.09

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Solution

The fourth proportional to 357,905.60, 493,919.16 and 194,573.09 is: 268,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,905.60 : 493,919.16 = 194,573.09 : x
  2. Step 2: Convert to fraction form
    357,905.60/493,919.16 = 194,573.09/x
  3. Step 3: Cross multiply
    357,905.60x = 493,919.16 × 194,573.09
  4. Step 4: Simplify right side
    357,905.60x = 96,103,374,701.81
  5. Step 5: Solve for x
    x = 96,103,374,701.81/357,905.60
  6. Step 6: Final answer
    x = 268,515.99

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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.