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Finding the Fourth Proportional to 576,949.32, 796,566 and 516,416.80

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Solution

The fourth proportional to 576,949.32, 796,566 and 516,416.80 is: 712,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,949.32 : 796,566 = 516,416.80 : x
  2. Step 2: Convert to fraction form
    576,949.32/796,566 = 516,416.80/x
  3. Step 3: Cross multiply
    576,949.32x = 796,566 × 516,416.80
  4. Step 4: Simplify right side
    576,949.32x = 411,360,064,708.80
  5. Step 5: Solve for x
    x = 411,360,064,708.80/576,949.32
  6. Step 6: Final answer
    x = 712,991.68

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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.