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Finding the Fourth Proportional to 446,977.98, 666,256.30 and 411,105.71

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Solution

The fourth proportional to 446,977.98, 666,256.30 and 411,105.71 is: 612,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,977.98 : 666,256.30 = 411,105.71 : x
  2. Step 2: Convert to fraction form
    446,977.98/666,256.30 = 411,105.71/x
  3. Step 3: Cross multiply
    446,977.98x = 666,256.30 × 411,105.71
  4. Step 4: Simplify right side
    446,977.98x = 273,901,772,203.82
  5. Step 5: Solve for x
    x = 273,901,772,203.82/446,977.98
  6. Step 6: Final answer
    x = 612,785.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.