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Finding the Fourth Proportional to 512,340.38, 707,027 and 297,533.24

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Solution

The fourth proportional to 512,340.38, 707,027 and 297,533.24 is: 410,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,340.38 : 707,027 = 297,533.24 : x
  2. Step 2: Convert to fraction form
    512,340.38/707,027 = 297,533.24/x
  3. Step 3: Cross multiply
    512,340.38x = 707,027 × 297,533.24
  4. Step 4: Simplify right side
    512,340.38x = 210,364,034,077.48
  5. Step 5: Solve for x
    x = 210,364,034,077.48/512,340.38
  6. Step 6: Final answer
    x = 410,594.29

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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.