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Finding the Fourth Proportional to 531,778.28, 733,864.01 and 290,069.48

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Solution

The fourth proportional to 531,778.28, 733,864.01 and 290,069.48 is: 400,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,778.28 : 733,864.01 = 290,069.48 : x
  2. Step 2: Convert to fraction form
    531,778.28/733,864.01 = 290,069.48/x
  3. Step 3: Cross multiply
    531,778.28x = 733,864.01 × 290,069.48
  4. Step 4: Simplify right side
    531,778.28x = 212,871,550,321.07
  5. Step 5: Solve for x
    x = 212,871,550,321.07/531,778.28
  6. Step 6: Final answer
    x = 400,301.33

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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.