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Finding the Fourth Proportional to 277,301.67, 415,776.17 and 117,293.91

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Solution

The fourth proportional to 277,301.67, 415,776.17 and 117,293.91 is: 175,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,301.67 : 415,776.17 = 117,293.91 : x
  2. Step 2: Convert to fraction form
    277,301.67/415,776.17 = 117,293.91/x
  3. Step 3: Cross multiply
    277,301.67x = 415,776.17 × 117,293.91
  4. Step 4: Simplify right side
    277,301.67x = 48,768,012,664.12
  5. Step 5: Solve for x
    x = 48,768,012,664.12/277,301.67
  6. Step 6: Final answer
    x = 175,866.28

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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.