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Finding the Fourth Proportional to 512,447.94, 707,125.82 and 297,633.51

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Solution

The fourth proportional to 512,447.94, 707,125.82 and 297,633.51 is: 410,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,447.94 : 707,125.82 = 297,633.51 : x
  2. Step 2: Convert to fraction form
    512,447.94/707,125.82 = 297,633.51/x
  3. Step 3: Cross multiply
    512,447.94x = 707,125.82 × 297,633.51
  4. Step 4: Simplify right side
    512,447.94x = 210,464,338,330.06
  5. Step 5: Solve for x
    x = 210,464,338,330.06/512,447.94
  6. Step 6: Final answer
    x = 410,703.84

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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.