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Finding the Fourth Proportional to 344,977.21, 475,866.77 and 224,198.94

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Solution

The fourth proportional to 344,977.21, 475,866.77 and 224,198.94 is: 309,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,977.21 : 475,866.77 = 224,198.94 : x
  2. Step 2: Convert to fraction form
    344,977.21/475,866.77 = 224,198.94/x
  3. Step 3: Cross multiply
    344,977.21x = 475,866.77 × 224,198.94
  4. Step 4: Simplify right side
    344,977.21x = 106,688,823,874.90
  5. Step 5: Solve for x
    x = 106,688,823,874.90/344,977.21
  6. Step 6: Final answer
    x = 309,263.40

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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.