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Finding the Fourth Proportional to 277,942.36, 417,471.48 and 165,841.36

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Solution

The fourth proportional to 277,942.36, 417,471.48 and 165,841.36 is: 249,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,942.36 : 417,471.48 = 165,841.36 : x
  2. Step 2: Convert to fraction form
    277,942.36/417,471.48 = 165,841.36/x
  3. Step 3: Cross multiply
    277,942.36x = 417,471.48 × 165,841.36
  4. Step 4: Simplify right side
    277,942.36x = 69,234,038,004.41
  5. Step 5: Solve for x
    x = 69,234,038,004.41/277,942.36
  6. Step 6: Final answer
    x = 249,094.95

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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.