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Finding the Fourth Proportional to 716,118.96, 988,256.21 and 410,222.09

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Solution

The fourth proportional to 716,118.96, 988,256.21 and 410,222.09 is: 566,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,118.96 : 988,256.21 = 410,222.09 : x
  2. Step 2: Convert to fraction form
    716,118.96/988,256.21 = 410,222.09/x
  3. Step 3: Cross multiply
    716,118.96x = 988,256.21 × 410,222.09
  4. Step 4: Simplify right side
    716,118.96x = 405,404,527,921.68
  5. Step 5: Solve for x
    x = 405,404,527,921.68/716,118.96
  6. Step 6: Final answer
    x = 566,113.38

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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.