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Finding the Fourth Proportional to 447,165.63, 617,088.12 and 256,179.78

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Solution

The fourth proportional to 447,165.63, 617,088.12 and 256,179.78 is: 353,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,165.63 : 617,088.12 = 256,179.78 : x
  2. Step 2: Convert to fraction form
    447,165.63/617,088.12 = 256,179.78/x
  3. Step 3: Cross multiply
    447,165.63x = 617,088.12 × 256,179.78
  4. Step 4: Simplify right side
    447,165.63x = 158,085,498,822.21
  5. Step 5: Solve for x
    x = 158,085,498,822.21/447,165.63
  6. Step 6: Final answer
    x = 353,527.84

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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.