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Finding the Fourth Proportional to 256,085.60, 384,128.40 and 193,877.60

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Solution

The fourth proportional to 256,085.60, 384,128.40 and 193,877.60 is: 290,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.60 : 384,128.40 = 193,877.60 : x
  2. Step 2: Convert to fraction form
    256,085.60/384,128.40 = 193,877.60/x
  3. Step 3: Cross multiply
    256,085.60x = 384,128.40 × 193,877.60
  4. Step 4: Simplify right side
    256,085.60x = 74,473,892,283.84
  5. Step 5: Solve for x
    x = 74,473,892,283.84/256,085.60
  6. Step 6: Final answer
    x = 290,816.40

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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.