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Finding the Fourth Proportional to 338,071, 506,916.90 and 231,575.20

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Solution

The fourth proportional to 338,071, 506,916.90 and 231,575.20 is: 347,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,071 : 506,916.90 = 231,575.20 : x
  2. Step 2: Convert to fraction form
    338,071/506,916.90 = 231,575.20/x
  3. Step 3: Cross multiply
    338,071x = 506,916.90 × 231,575.20
  4. Step 4: Simplify right side
    338,071x = 117,389,382,500.88
  5. Step 5: Solve for x
    x = 117,389,382,500.88/338,071
  6. Step 6: Final answer
    x = 347,232.93

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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.