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Finding the Fourth Proportional to 511,513.88, 705,872.94 and 282,080.84

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Solution

The fourth proportional to 511,513.88, 705,872.94 and 282,080.84 is: 389,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,513.88 : 705,872.94 = 282,080.84 : x
  2. Step 2: Convert to fraction form
    511,513.88/705,872.94 = 282,080.84/x
  3. Step 3: Cross multiply
    511,513.88x = 705,872.94 × 282,080.84
  4. Step 4: Simplify right side
    511,513.88x = 199,113,228,319.11
  5. Step 5: Solve for x
    x = 199,113,228,319.11/511,513.88
  6. Step 6: Final answer
    x = 389,262.61

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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.