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Finding the Fourth Proportional to 511,156.53, 705,400.65 and 281,722.01

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Solution

The fourth proportional to 511,156.53, 705,400.65 and 281,722.01 is: 388,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,156.53 : 705,400.65 = 281,722.01 : x
  2. Step 2: Convert to fraction form
    511,156.53/705,400.65 = 281,722.01/x
  3. Step 3: Cross multiply
    511,156.53x = 705,400.65 × 281,722.01
  4. Step 4: Simplify right side
    511,156.53x = 198,726,885,446.30
  5. Step 5: Solve for x
    x = 198,726,885,446.30/511,156.53
  6. Step 6: Final answer
    x = 388,778.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.