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Finding the Fourth Proportional to 511,568.88, 705,939.16 and 282,166.08

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Solution

The fourth proportional to 511,568.88, 705,939.16 and 282,166.08 is: 389,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,568.88 : 705,939.16 = 282,166.08 : x
  2. Step 2: Convert to fraction form
    511,568.88/705,939.16 = 282,166.08/x
  3. Step 3: Cross multiply
    511,568.88x = 705,939.16 × 282,166.08
  4. Step 4: Simplify right side
    511,568.88x = 199,192,085,495.69
  5. Step 5: Solve for x
    x = 199,192,085,495.69/511,568.88
  6. Step 6: Final answer
    x = 389,374.91

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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.