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Finding the Fourth Proportional to 535,396.23, 738,856.62 and 293,691.15

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Solution

The fourth proportional to 535,396.23, 738,856.62 and 293,691.15 is: 405,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,396.23 : 738,856.62 = 293,691.15 : x
  2. Step 2: Convert to fraction form
    535,396.23/738,856.62 = 293,691.15/x
  3. Step 3: Cross multiply
    535,396.23x = 738,856.62 × 293,691.15
  4. Step 4: Simplify right side
    535,396.23x = 216,995,650,412.91
  5. Step 5: Solve for x
    x = 216,995,650,412.91/535,396.23
  6. Step 6: Final answer
    x = 405,299.18

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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.