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Finding the Fourth Proportional to 256,233.40, 384,234.90 and 98,409.40

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Solution

The fourth proportional to 256,233.40, 384,234.90 and 98,409.40 is: 147,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,233.40 : 384,234.90 = 98,409.40 : x
  2. Step 2: Convert to fraction form
    256,233.40/384,234.90 = 98,409.40/x
  3. Step 3: Cross multiply
    256,233.40x = 384,234.90 × 98,409.40
  4. Step 4: Simplify right side
    256,233.40x = 37,812,325,968.06
  5. Step 5: Solve for x
    x = 37,812,325,968.06/256,233.40
  6. Step 6: Final answer
    x = 147,569.86

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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.