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Finding the Fourth Proportional to 512,693.35, 707,495.41 and 294,885.46

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Solution

The fourth proportional to 512,693.35, 707,495.41 and 294,885.46 is: 406,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,693.35 : 707,495.41 = 294,885.46 : x
  2. Step 2: Convert to fraction form
    512,693.35/707,495.41 = 294,885.46/x
  3. Step 3: Cross multiply
    512,693.35x = 707,495.41 × 294,885.46
  4. Step 4: Simplify right side
    512,693.35x = 208,630,110,678.72
  5. Step 5: Solve for x
    x = 208,630,110,678.72/512,693.35
  6. Step 6: Final answer
    x = 406,929.62

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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.