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Finding the Fourth Proportional to 280,484.94, 420,415.77 and 213,704.91

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Solution

The fourth proportional to 280,484.94, 420,415.77 and 213,704.91 is: 320,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484.94 : 420,415.77 = 213,704.91 : x
  2. Step 2: Convert to fraction form
    280,484.94/420,415.77 = 213,704.91/x
  3. Step 3: Cross multiply
    280,484.94x = 420,415.77 × 213,704.91
  4. Step 4: Simplify right side
    280,484.94x = 89,844,914,290.43
  5. Step 5: Solve for x
    x = 89,844,914,290.43/280,484.94
  6. Step 6: Final answer
    x = 320,319.92

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1.5x scale

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.