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Finding the Fourth Proportional to 256,605.60, 384,908.40 and 231,722.40

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Solution

The fourth proportional to 256,605.60, 384,908.40 and 231,722.40 is: 347,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,605.60 : 384,908.40 = 231,722.40 : x
  2. Step 2: Convert to fraction form
    256,605.60/384,908.40 = 231,722.40/x
  3. Step 3: Cross multiply
    256,605.60x = 384,908.40 × 231,722.40
  4. Step 4: Simplify right side
    256,605.60x = 89,191,898,228.16
  5. Step 5: Solve for x
    x = 89,191,898,228.16/256,605.60
  6. Step 6: Final answer
    x = 347,583.60

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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.