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Finding the Fourth Proportional to 702,357.45, 969,257.78 and 411,909.81

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Solution

The fourth proportional to 702,357.45, 969,257.78 and 411,909.81 is: 568,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,357.45 : 969,257.78 = 411,909.81 : x
  2. Step 2: Convert to fraction form
    702,357.45/969,257.78 = 411,909.81/x
  3. Step 3: Cross multiply
    702,357.45x = 969,257.78 × 411,909.81
  4. Step 4: Simplify right side
    702,357.45x = 399,246,788,000.82
  5. Step 5: Solve for x
    x = 399,246,788,000.82/702,357.45
  6. Step 6: Final answer
    x = 568,438.18

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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.