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Finding the Fourth Proportional to 256,494.60, 384,741.90 and 155,455.20

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Solution

The fourth proportional to 256,494.60, 384,741.90 and 155,455.20 is: 233,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494.60 : 384,741.90 = 155,455.20 : x
  2. Step 2: Convert to fraction form
    256,494.60/384,741.90 = 155,455.20/x
  3. Step 3: Cross multiply
    256,494.60x = 384,741.90 × 155,455.20
  4. Step 4: Simplify right side
    256,494.60x = 59,810,129,012.88
  5. Step 5: Solve for x
    x = 59,810,129,012.88/256,494.60
  6. Step 6: Final answer
    x = 233,182.80

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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.