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Finding the Fourth Proportional to 512,417.68, 707,082.69 and 297,515.77

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Solution

The fourth proportional to 512,417.68, 707,082.69 and 297,515.77 is: 410,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,417.68 : 707,082.69 = 297,515.77 : x
  2. Step 2: Convert to fraction form
    512,417.68/707,082.69 = 297,515.77/x
  3. Step 3: Cross multiply
    512,417.68x = 707,082.69 × 297,515.77
  4. Step 4: Simplify right side
    512,417.68x = 210,368,250,317.00
  5. Step 5: Solve for x
    x = 210,368,250,317.00/512,417.68
  6. Step 6: Final answer
    x = 410,540.58

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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.