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Finding the Fourth Proportional to 502,957, 693,665.94 and 301,610.44

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Solution

The fourth proportional to 502,957, 693,665.94 and 301,610.44 is: 415,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,957 : 693,665.94 = 301,610.44 : x
  2. Step 2: Convert to fraction form
    502,957/693,665.94 = 301,610.44/x
  3. Step 3: Cross multiply
    502,957x = 693,665.94 × 301,610.44
  4. Step 4: Simplify right side
    502,957x = 209,216,889,376.41
  5. Step 5: Solve for x
    x = 209,216,889,376.41/502,957
  6. Step 6: Final answer
    x = 415,973.71

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1.5x scale

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.