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Finding the Fourth Proportional to 511,186.93, 705,478.49 and 281,785

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Solution

The fourth proportional to 511,186.93, 705,478.49 and 281,785 is: 388,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,186.93 : 705,478.49 = 281,785 : x
  2. Step 2: Convert to fraction form
    511,186.93/705,478.49 = 281,785/x
  3. Step 3: Cross multiply
    511,186.93x = 705,478.49 × 281,785
  4. Step 4: Simplify right side
    511,186.93x = 198,793,256,304.65
  5. Step 5: Solve for x
    x = 198,793,256,304.65/511,186.93
  6. Step 6: Final answer
    x = 388,885.64

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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.