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Finding the Fourth Proportional to 516,054.96, 712,150.92 and 289,698.84

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Solution

The fourth proportional to 516,054.96, 712,150.92 and 289,698.84 is: 399,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,054.96 : 712,150.92 = 289,698.84 : x
  2. Step 2: Convert to fraction form
    516,054.96/712,150.92 = 289,698.84/x
  3. Step 3: Cross multiply
    516,054.96x = 712,150.92 × 289,698.84
  4. Step 4: Simplify right side
    516,054.96x = 206,309,295,428.93
  5. Step 5: Solve for x
    x = 206,309,295,428.93/516,054.96
  6. Step 6: Final answer
    x = 399,781.63

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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.