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Finding the Fourth Proportional to 543,783.62, 815,758.43 and 277,398.81

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Solution

The fourth proportional to 543,783.62, 815,758.43 and 277,398.81 is: 416,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,783.62 : 815,758.43 = 277,398.81 : x
  2. Step 2: Convert to fraction form
    543,783.62/815,758.43 = 277,398.81/x
  3. Step 3: Cross multiply
    543,783.62x = 815,758.43 × 277,398.81
  4. Step 4: Simplify right side
    543,783.62x = 226,290,416,342.47
  5. Step 5: Solve for x
    x = 226,290,416,342.47/543,783.62
  6. Step 6: Final answer
    x = 416,140.55

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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.