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Finding the Fourth Proportional to 277,943.67, 417,473.33 and 165,842.64

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Solution

The fourth proportional to 277,943.67, 417,473.33 and 165,842.64 is: 249,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,943.67 : 417,473.33 = 165,842.64 : x
  2. Step 2: Convert to fraction form
    277,943.67/417,473.33 = 165,842.64/x
  3. Step 3: Cross multiply
    277,943.67x = 417,473.33 × 165,842.64
  4. Step 4: Simplify right side
    277,943.67x = 69,234,878,347.58
  5. Step 5: Solve for x
    x = 69,234,878,347.58/277,943.67
  6. Step 6: Final answer
    x = 249,096.80

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Why These Related Problems?

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