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Finding the Fourth Proportional to 277,938.90, 417,466.20 and 165,837.86

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Solution

The fourth proportional to 277,938.90, 417,466.20 and 165,837.86 is: 249,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,938.90 : 417,466.20 = 165,837.86 : x
  2. Step 2: Convert to fraction form
    277,938.90/417,466.20 = 165,837.86/x
  3. Step 3: Cross multiply
    277,938.90x = 417,466.20 × 165,837.86
  4. Step 4: Simplify right side
    277,938.90x = 69,231,701,230.33
  5. Step 5: Solve for x
    x = 69,231,701,230.33/277,938.90
  6. Step 6: Final answer
    x = 249,089.64

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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.