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Finding the Fourth Proportional to 277,301.46, 415,775.86 and 117,293.71

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Solution

The fourth proportional to 277,301.46, 415,775.86 and 117,293.71 is: 175,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,301.46 : 415,775.86 = 117,293.71 : x
  2. Step 2: Convert to fraction form
    277,301.46/415,775.86 = 117,293.71/x
  3. Step 3: Cross multiply
    277,301.46x = 415,775.86 × 117,293.71
  4. Step 4: Simplify right side
    277,301.46x = 48,767,891,362.20
  5. Step 5: Solve for x
    x = 48,767,891,362.20/277,301.46
  6. Step 6: Final answer
    x = 175,865.97

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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.