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Finding the Fourth Proportional to 277,952.86, 417,487.23 and 165,851.86

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Solution

The fourth proportional to 277,952.86, 417,487.23 and 165,851.86 is: 249,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,952.86 : 417,487.23 = 165,851.86 : x
  2. Step 2: Convert to fraction form
    277,952.86/417,487.23 = 165,851.86/x
  3. Step 3: Cross multiply
    277,952.86x = 417,487.23 × 165,851.86
  4. Step 4: Simplify right side
    277,952.86x = 69,241,033,621.75
  5. Step 5: Solve for x
    x = 69,241,033,621.75/277,952.86
  6. Step 6: Final answer
    x = 249,110.71

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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.