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Finding the Fourth Proportional to 256,083.60, 384,125.40 and 193,875.60

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Solution

The fourth proportional to 256,083.60, 384,125.40 and 193,875.60 is: 290,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.60 : 384,125.40 = 193,875.60 : x
  2. Step 2: Convert to fraction form
    256,083.60/384,125.40 = 193,875.60/x
  3. Step 3: Cross multiply
    256,083.60x = 384,125.40 × 193,875.60
  4. Step 4: Simplify right side
    256,083.60x = 74,472,542,400.24
  5. Step 5: Solve for x
    x = 74,472,542,400.24/256,083.60
  6. Step 6: Final answer
    x = 290,813.40

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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.