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Finding the Fourth Proportional to 277,606.86, 416,411.37 and 67,244.46

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Solution

The fourth proportional to 277,606.86, 416,411.37 and 67,244.46 is: 100,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606.86 : 416,411.37 = 67,244.46 : x
  2. Step 2: Convert to fraction form
    277,606.86/416,411.37 = 67,244.46/x
  3. Step 3: Cross multiply
    277,606.86x = 416,411.37 × 67,244.46
  4. Step 4: Simplify right side
    277,606.86x = 28,001,357,713.51
  5. Step 5: Solve for x
    x = 28,001,357,713.51/277,606.86
  6. Step 6: Final answer
    x = 100,866.95

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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.