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Finding the Fourth Proportional to 516,198.51, 712,612.96 and 322,713.74

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Solution

The fourth proportional to 516,198.51, 712,612.96 and 322,713.74 is: 445,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,198.51 : 712,612.96 = 322,713.74 : x
  2. Step 2: Convert to fraction form
    516,198.51/712,612.96 = 322,713.74/x
  3. Step 3: Cross multiply
    516,198.51x = 712,612.96 × 322,713.74
  4. Step 4: Simplify right side
    516,198.51x = 229,969,994,468.82
  5. Step 5: Solve for x
    x = 229,969,994,468.82/516,198.51
  6. Step 6: Final answer
    x = 445,506.89

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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.