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Finding the Fourth Proportional to 415,566.20, 623,381.70 and 178,916.60

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Solution

The fourth proportional to 415,566.20, 623,381.70 and 178,916.60 is: 268,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,566.20 : 623,381.70 = 178,916.60 : x
  2. Step 2: Convert to fraction form
    415,566.20/623,381.70 = 178,916.60/x
  3. Step 3: Cross multiply
    415,566.20x = 623,381.70 × 178,916.60
  4. Step 4: Simplify right side
    415,566.20x = 111,533,334,266.22
  5. Step 5: Solve for x
    x = 111,533,334,266.22/415,566.20
  6. Step 6: Final answer
    x = 268,388.85

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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.