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Finding the Fourth Proportional to 512,573.61, 707,231.88 and 297,584.22

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Solution

The fourth proportional to 512,573.61, 707,231.88 and 297,584.22 is: 410,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,573.61 : 707,231.88 = 297,584.22 : x
  2. Step 2: Convert to fraction form
    512,573.61/707,231.88 = 297,584.22/x
  3. Step 3: Cross multiply
    512,573.61x = 707,231.88 × 297,584.22
  4. Step 4: Simplify right side
    512,573.61x = 210,461,047,368.93
  5. Step 5: Solve for x
    x = 210,461,047,368.93/512,573.61
  6. Step 6: Final answer
    x = 410,596.73

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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.