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Finding the Fourth Proportional to 511,056.08, 705,288.75 and 281,613.23

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Solution

The fourth proportional to 511,056.08, 705,288.75 and 281,613.23 is: 388,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056.08 : 705,288.75 = 281,613.23 : x
  2. Step 2: Convert to fraction form
    511,056.08/705,288.75 = 281,613.23/x
  3. Step 3: Cross multiply
    511,056.08x = 705,288.75 × 281,613.23
  4. Step 4: Simplify right side
    511,056.08x = 198,618,644,733.38
  5. Step 5: Solve for x
    x = 198,618,644,733.38/511,056.08
  6. Step 6: Final answer
    x = 388,643.55

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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.