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Finding the Fourth Proportional to 409,867.89, 610,727.32 and 365,151.03

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Solution

The fourth proportional to 409,867.89, 610,727.32 and 365,151.03 is: 544,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,867.89 : 610,727.32 = 365,151.03 : x
  2. Step 2: Convert to fraction form
    409,867.89/610,727.32 = 365,151.03/x
  3. Step 3: Cross multiply
    409,867.89x = 610,727.32 × 365,151.03
  4. Step 4: Simplify right side
    409,867.89x = 223,007,709,947.14
  5. Step 5: Solve for x
    x = 223,007,709,947.14/409,867.89
  6. Step 6: Final answer
    x = 544,096.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.