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Finding the Fourth Proportional to 256,823.80, 384,846.90 and 173,620.60

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Solution

The fourth proportional to 256,823.80, 384,846.90 and 173,620.60 is: 260,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.80 : 384,846.90 = 173,620.60 : x
  2. Step 2: Convert to fraction form
    256,823.80/384,846.90 = 173,620.60/x
  3. Step 3: Cross multiply
    256,823.80x = 384,846.90 × 173,620.60
  4. Step 4: Simplify right side
    256,823.80x = 66,817,349,686.14
  5. Step 5: Solve for x
    x = 66,817,349,686.14/256,823.80
  6. Step 6: Final answer
    x = 260,168.06

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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.