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Finding the Fourth Proportional to 512,200.72, 706,768.68 and 297,338.32

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Solution

The fourth proportional to 512,200.72, 706,768.68 and 297,338.32 is: 410,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,200.72 : 706,768.68 = 297,338.32 : x
  2. Step 2: Convert to fraction form
    512,200.72/706,768.68 = 297,338.32/x
  3. Step 3: Cross multiply
    512,200.72x = 706,768.68 × 297,338.32
  4. Step 4: Simplify right side
    512,200.72x = 210,149,411,939.82
  5. Step 5: Solve for x
    x = 210,149,411,939.82/512,200.72
  6. Step 6: Final answer
    x = 410,287.22

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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.