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Finding the Fourth Proportional to 476,532.24, 713,709.72 and 227,389.20

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Solution

The fourth proportional to 476,532.24, 713,709.72 and 227,389.20 is: 340,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,532.24 : 713,709.72 = 227,389.20 : x
  2. Step 2: Convert to fraction form
    476,532.24/713,709.72 = 227,389.20/x
  3. Step 3: Cross multiply
    476,532.24x = 713,709.72 × 227,389.20
  4. Step 4: Simplify right side
    476,532.24x = 162,289,882,263.02
  5. Step 5: Solve for x
    x = 162,289,882,263.02/476,532.24
  6. Step 6: Final answer
    x = 340,564.33

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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.