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Finding the Fourth Proportional to 511,060.08, 705,253.37 and 281,638.61

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Solution

The fourth proportional to 511,060.08, 705,253.37 and 281,638.61 is: 388,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,060.08 : 705,253.37 = 281,638.61 : x
  2. Step 2: Convert to fraction form
    511,060.08/705,253.37 = 281,638.61/x
  3. Step 3: Cross multiply
    511,060.08x = 705,253.37 × 281,638.61
  4. Step 4: Simplify right side
    511,060.08x = 198,626,573,890.16
  5. Step 5: Solve for x
    x = 198,626,573,890.16/511,060.08
  6. Step 6: Final answer
    x = 388,656.01

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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.