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Finding the Fourth Proportional to 716,906.54, 989,215.27 and 410,926.61

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Solution

The fourth proportional to 716,906.54, 989,215.27 and 410,926.61 is: 567,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,906.54 : 989,215.27 = 410,926.61 : x
  2. Step 2: Convert to fraction form
    716,906.54/989,215.27 = 410,926.61/x
  3. Step 3: Cross multiply
    716,906.54x = 989,215.27 × 410,926.61
  4. Step 4: Simplify right side
    716,906.54x = 406,494,875,406.70
  5. Step 5: Solve for x
    x = 406,494,875,406.70/716,906.54
  6. Step 6: Final answer
    x = 567,012.37

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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.