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Finding the Fourth Proportional to 417,606.12, 576,297.95 and 226,619.46

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Solution

The fourth proportional to 417,606.12, 576,297.95 and 226,619.46 is: 312,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,606.12 : 576,297.95 = 226,619.46 : x
  2. Step 2: Convert to fraction form
    417,606.12/576,297.95 = 226,619.46/x
  3. Step 3: Cross multiply
    417,606.12x = 576,297.95 × 226,619.46
  4. Step 4: Simplify right side
    417,606.12x = 130,600,329,095.01
  5. Step 5: Solve for x
    x = 130,600,329,095.01/417,606.12
  6. Step 6: Final answer
    x = 312,735.67

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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.