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Finding the Fourth Proportional to 405,037.44, 558,953.28 and 226,189.44

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Solution

The fourth proportional to 405,037.44, 558,953.28 and 226,189.44 is: 312,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,037.44 : 558,953.28 = 226,189.44 : x
  2. Step 2: Convert to fraction form
    405,037.44/558,953.28 = 226,189.44/x
  3. Step 3: Cross multiply
    405,037.44x = 558,953.28 × 226,189.44
  4. Step 4: Simplify right side
    405,037.44x = 126,429,329,389.36
  5. Step 5: Solve for x
    x = 126,429,329,389.36/405,037.44
  6. Step 6: Final answer
    x = 312,142.33

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1.5x scale

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.