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Finding the Fourth Proportional to 773,164.76, 1,067,020.64 and 433,654.88

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Solution

The fourth proportional to 773,164.76, 1,067,020.64 and 433,654.88 is: 598,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,164.76 : 1,067,020.64 = 433,654.88 : x
  2. Step 2: Convert to fraction form
    773,164.76/1,067,020.64 = 433,654.88/x
  3. Step 3: Cross multiply
    773,164.76x = 1,067,020.64 × 433,654.88
  4. Step 4: Simplify right side
    773,164.76x = 462,718,700,093.35
  5. Step 5: Solve for x
    x = 462,718,700,093.35/773,164.76
  6. Step 6: Final answer
    x = 598,473.61

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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.