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Finding the Fourth Proportional to 277,654.93, 416,482.42 and 67,292.87

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Solution

The fourth proportional to 277,654.93, 416,482.42 and 67,292.87 is: 100,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,654.93 : 416,482.42 = 67,292.87 : x
  2. Step 2: Convert to fraction form
    277,654.93/416,482.42 = 67,292.87/x
  3. Step 3: Cross multiply
    277,654.93x = 416,482.42 × 67,292.87
  4. Step 4: Simplify right side
    277,654.93x = 28,026,297,009.88
  5. Step 5: Solve for x
    x = 28,026,297,009.88/277,654.93
  6. Step 6: Final answer
    x = 100,939.31

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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.