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Finding the Fourth Proportional to 277,348.70, 415,646.13 and 117,291.62

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Solution

The fourth proportional to 277,348.70, 415,646.13 and 117,291.62 is: 175,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348.70 : 415,646.13 = 117,291.62 : x
  2. Step 2: Convert to fraction form
    277,348.70/415,646.13 = 117,291.62/x
  3. Step 3: Cross multiply
    277,348.70x = 415,646.13 × 117,291.62
  4. Step 4: Simplify right side
    277,348.70x = 48,751,807,934.43
  5. Step 5: Solve for x
    x = 48,751,807,934.43/277,348.70
  6. Step 6: Final answer
    x = 175,778.03

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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.