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Finding the Fourth Proportional to 512,416.99, 707,081.74 and 297,515.08

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Solution

The fourth proportional to 512,416.99, 707,081.74 and 297,515.08 is: 410,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,416.99 : 707,081.74 = 297,515.08 : x
  2. Step 2: Convert to fraction form
    512,416.99/707,081.74 = 297,515.08/x
  3. Step 3: Cross multiply
    512,416.99x = 707,081.74 × 297,515.08
  4. Step 4: Simplify right side
    512,416.99x = 210,367,480,442.64
  5. Step 5: Solve for x
    x = 210,367,480,442.64/512,416.99
  6. Step 6: Final answer
    x = 410,539.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.