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Finding the Fourth Proportional to 287,998.40, 431,997.60 and 256,505.60

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Solution

The fourth proportional to 287,998.40, 431,997.60 and 256,505.60 is: 384,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998.40 : 431,997.60 = 256,505.60 : x
  2. Step 2: Convert to fraction form
    287,998.40/431,997.60 = 256,505.60/x
  3. Step 3: Cross multiply
    287,998.40x = 431,997.60 × 256,505.60
  4. Step 4: Simplify right side
    287,998.40x = 110,809,803,586.56
  5. Step 5: Solve for x
    x = 110,809,803,586.56/287,998.40
  6. Step 6: Final answer
    x = 384,758.40

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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.