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Finding the Fourth Proportional to 512,777.80, 707,636.46 and 297,922.24

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Solution

The fourth proportional to 512,777.80, 707,636.46 and 297,922.24 is: 411,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,777.80 : 707,636.46 = 297,922.24 : x
  2. Step 2: Convert to fraction form
    512,777.80/707,636.46 = 297,922.24/x
  3. Step 3: Cross multiply
    512,777.80x = 707,636.46 × 297,922.24
  4. Step 4: Simplify right side
    512,777.80x = 210,820,639,268.87
  5. Step 5: Solve for x
    x = 210,820,639,268.87/512,777.80
  6. Step 6: Final answer
    x = 411,134.49

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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.