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Finding the Fourth Proportional to 277,655.68, 416,483.54 and 67,293.62

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Solution

The fourth proportional to 277,655.68, 416,483.54 and 67,293.62 is: 100,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,655.68 : 416,483.54 = 67,293.62 : x
  2. Step 2: Convert to fraction form
    277,655.68/416,483.54 = 67,293.62/x
  3. Step 3: Cross multiply
    277,655.68x = 416,483.54 × 67,293.62
  4. Step 4: Simplify right side
    277,655.68x = 28,026,684,472.29
  5. Step 5: Solve for x
    x = 28,026,684,472.29/277,655.68
  6. Step 6: Final answer
    x = 100,940.43

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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.