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Finding the Fourth Proportional to 511,143.01, 705,382.12 and 281,708.48

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Solution

The fourth proportional to 511,143.01, 705,382.12 and 281,708.48 is: 388,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,143.01 : 705,382.12 = 281,708.48 : x
  2. Step 2: Convert to fraction form
    511,143.01/705,382.12 = 281,708.48/x
  3. Step 3: Cross multiply
    511,143.01x = 705,382.12 × 281,708.48
  4. Step 4: Simplify right side
    511,143.01x = 198,712,124,844.38
  5. Step 5: Solve for x
    x = 198,712,124,844.38/511,143.01
  6. Step 6: Final answer
    x = 388,760.33

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1.5x scale

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.