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Finding the Fourth Proportional to 511,440.38, 705,792.65 and 282,005.85

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Solution

The fourth proportional to 511,440.38, 705,792.65 and 282,005.85 is: 389,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,440.38 : 705,792.65 = 282,005.85 : x
  2. Step 2: Convert to fraction form
    511,440.38/705,792.65 = 282,005.85/x
  3. Step 3: Cross multiply
    511,440.38x = 705,792.65 × 282,005.85
  4. Step 4: Simplify right side
    511,440.38x = 199,037,654,776.97
  5. Step 5: Solve for x
    x = 199,037,654,776.97/511,440.38
  6. Step 6: Final answer
    x = 389,170.79

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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.