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Finding the Fourth Proportional to 547,279.14, 820,918.67 and 277,365.24

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Solution

The fourth proportional to 547,279.14, 820,918.67 and 277,365.24 is: 416,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,279.14 : 820,918.67 = 277,365.24 : x
  2. Step 2: Convert to fraction form
    547,279.14/820,918.67 = 277,365.24/x
  3. Step 3: Cross multiply
    547,279.14x = 820,918.67 × 277,365.24
  4. Step 4: Simplify right side
    547,279.14x = 227,694,303,411.90
  5. Step 5: Solve for x
    x = 227,694,303,411.90/547,279.14
  6. Step 6: Final answer
    x = 416,047.84

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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.