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Finding the Fourth Proportional to 702,357.70, 969,258.13 and 411,910.06

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Solution

The fourth proportional to 702,357.70, 969,258.13 and 411,910.06 is: 568,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,357.70 : 969,258.13 = 411,910.06 : x
  2. Step 2: Convert to fraction form
    702,357.70/969,258.13 = 411,910.06/x
  3. Step 3: Cross multiply
    702,357.70x = 969,258.13 × 411,910.06
  4. Step 4: Simplify right side
    702,357.70x = 399,247,172,424.24
  5. Step 5: Solve for x
    x = 399,247,172,424.24/702,357.70
  6. Step 6: Final answer
    x = 568,438.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.