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Finding the Fourth Proportional to 512,339.38, 707,025.63 and 297,532.24

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Solution

The fourth proportional to 512,339.38, 707,025.63 and 297,532.24 is: 410,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,339.38 : 707,025.63 = 297,532.24 : x
  2. Step 2: Convert to fraction form
    512,339.38/707,025.63 = 297,532.24/x
  3. Step 3: Cross multiply
    512,339.38x = 707,025.63 × 297,532.24
  4. Step 4: Simplify right side
    512,339.38x = 210,362,919,431.31
  5. Step 5: Solve for x
    x = 210,362,919,431.31/512,339.38
  6. Step 6: Final answer
    x = 410,592.91

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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.