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Finding the Fourth Proportional to 512,375.30, 707,024.21 and 297,473.39

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Solution

The fourth proportional to 512,375.30, 707,024.21 and 297,473.39 is: 410,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,375.30 : 707,024.21 = 297,473.39 : x
  2. Step 2: Convert to fraction form
    512,375.30/707,024.21 = 297,473.39/x
  3. Step 3: Cross multiply
    512,375.30x = 707,024.21 × 297,473.39
  4. Step 4: Simplify right side
    512,375.30x = 210,320,888,840.97
  5. Step 5: Solve for x
    x = 210,320,888,840.97/512,375.30
  6. Step 6: Final answer
    x = 410,482.10

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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.