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Finding the Fourth Proportional to 716,251.89, 988,568.01 and 410,533.20

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Solution

The fourth proportional to 716,251.89, 988,568.01 and 410,533.20 is: 566,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,251.89 : 988,568.01 = 410,533.20 : x
  2. Step 2: Convert to fraction form
    716,251.89/988,568.01 = 410,533.20/x
  3. Step 3: Cross multiply
    716,251.89x = 988,568.01 × 410,533.20
  4. Step 4: Simplify right side
    716,251.89x = 405,839,988,562.93
  5. Step 5: Solve for x
    x = 405,839,988,562.93/716,251.89
  6. Step 6: Final answer
    x = 566,616.29

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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.