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Finding the Fourth Proportional to 512,388.02, 707,245.62 and 297,624.62

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Solution

The fourth proportional to 512,388.02, 707,245.62 and 297,624.62 is: 410,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,388.02 : 707,245.62 = 297,624.62 : x
  2. Step 2: Convert to fraction form
    512,388.02/707,245.62 = 297,624.62/x
  3. Step 3: Cross multiply
    512,388.02x = 707,245.62 × 297,624.62
  4. Step 4: Simplify right side
    512,388.02x = 210,493,708,899.16
  5. Step 5: Solve for x
    x = 210,493,708,899.16/512,388.02
  6. Step 6: Final answer
    x = 410,809.19

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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.