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Finding the Fourth Proportional to 476,581.05, 713,782.82 and 227,438.01

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Solution

The fourth proportional to 476,581.05, 713,782.82 and 227,438.01 is: 340,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,581.05 : 713,782.82 = 227,438.01 : x
  2. Step 2: Convert to fraction form
    476,581.05/713,782.82 = 227,438.01/x
  3. Step 3: Cross multiply
    476,581.05x = 713,782.82 × 227,438.01
  4. Step 4: Simplify right side
    476,581.05x = 162,341,343,015.80
  5. Step 5: Solve for x
    x = 162,341,343,015.80/476,581.05
  6. Step 6: Final answer
    x = 340,637.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.