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Finding the Fourth Proportional to 256,085.60, 384,128.40 and 256,085.60

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Solution

The fourth proportional to 256,085.60, 384,128.40 and 256,085.60 is: 384,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.60 : 384,128.40 = 256,085.60 : x
  2. Step 2: Convert to fraction form
    256,085.60/384,128.40 = 256,085.60/x
  3. Step 3: Cross multiply
    256,085.60x = 384,128.40 × 256,085.60
  4. Step 4: Simplify right side
    256,085.60x = 98,369,751,791.04
  5. Step 5: Solve for x
    x = 98,369,751,791.04/256,085.60
  6. Step 6: Final answer
    x = 384,128.40

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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.