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Finding the Fourth Proportional to 447,164.63, 617,086.74 and 256,178.78

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Solution

The fourth proportional to 447,164.63, 617,086.74 and 256,178.78 is: 353,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,164.63 : 617,086.74 = 256,178.78 : x
  2. Step 2: Convert to fraction form
    447,164.63/617,086.74 = 256,178.78/x
  3. Step 3: Cross multiply
    447,164.63x = 617,086.74 × 256,178.78
  4. Step 4: Simplify right side
    447,164.63x = 158,084,523,841.05
  5. Step 5: Solve for x
    x = 158,084,523,841.05/447,164.63
  6. Step 6: Final answer
    x = 353,526.45

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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.