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Finding the Fourth Proportional to 415,885.10, 624,043.65 and 194,269.10

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Solution

The fourth proportional to 415,885.10, 624,043.65 and 194,269.10 is: 291,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,885.10 : 624,043.65 = 194,269.10 : x
  2. Step 2: Convert to fraction form
    415,885.10/624,043.65 = 194,269.10/x
  3. Step 3: Cross multiply
    415,885.10x = 624,043.65 × 194,269.10
  4. Step 4: Simplify right side
    415,885.10x = 121,232,398,246.22
  5. Step 5: Solve for x
    x = 121,232,398,246.22/415,885.10
  6. Step 6: Final answer
    x = 291,504.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.