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Finding the Fourth Proportional to 512,693.85, 707,496.10 and 294,885.96

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Solution

The fourth proportional to 512,693.85, 707,496.10 and 294,885.96 is: 406,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,693.85 : 707,496.10 = 294,885.96 : x
  2. Step 2: Convert to fraction form
    512,693.85/707,496.10 = 294,885.96/x
  3. Step 3: Cross multiply
    512,693.85x = 707,496.10 × 294,885.96
  4. Step 4: Simplify right side
    512,693.85x = 208,630,666,644.76
  5. Step 5: Solve for x
    x = 208,630,666,644.76/512,693.85
  6. Step 6: Final answer
    x = 406,930.31

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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.