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Finding the Fourth Proportional to 512,683.72, 707,481.99 and 294,875.95

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Solution

The fourth proportional to 512,683.72, 707,481.99 and 294,875.95 is: 406,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,683.72 : 707,481.99 = 294,875.95 : x
  2. Step 2: Convert to fraction form
    512,683.72/707,481.99 = 294,875.95/x
  3. Step 3: Cross multiply
    512,683.72x = 707,481.99 × 294,875.95
  4. Step 4: Simplify right side
    512,683.72x = 208,619,418,897.35
  5. Step 5: Solve for x
    x = 208,619,418,897.35/512,683.72
  6. Step 6: Final answer
    x = 406,916.41

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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.