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Finding the Fourth Proportional to 284,314.68, 426,261.88 and 171,967.80

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Solution

The fourth proportional to 284,314.68, 426,261.88 and 171,967.80 is: 257,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.68 : 426,261.88 = 171,967.80 : x
  2. Step 2: Convert to fraction form
    284,314.68/426,261.88 = 171,967.80/x
  3. Step 3: Cross multiply
    284,314.68x = 426,261.88 × 171,967.80
  4. Step 4: Simplify right side
    284,314.68x = 73,303,317,727.46
  5. Step 5: Solve for x
    x = 73,303,317,727.46/284,314.68
  6. Step 6: Final answer
    x = 257,824.60

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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.