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Finding the Fourth Proportional to 511,786.22, 706,036.55 and 296,801.69

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Solution

The fourth proportional to 511,786.22, 706,036.55 and 296,801.69 is: 409,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,786.22 : 706,036.55 = 296,801.69 : x
  2. Step 2: Convert to fraction form
    511,786.22/706,036.55 = 296,801.69/x
  3. Step 3: Cross multiply
    511,786.22x = 706,036.55 × 296,801.69
  4. Step 4: Simplify right side
    511,786.22x = 209,552,836,227.58
  5. Step 5: Solve for x
    x = 209,552,836,227.58/511,786.22
  6. Step 6: Final answer
    x = 409,453.85

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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.