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Finding the Fourth Proportional to 227,683.20, 341,492.40 and 77,930.40

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Solution

The fourth proportional to 227,683.20, 341,492.40 and 77,930.40 is: 116,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,683.20 : 341,492.40 = 77,930.40 : x
  2. Step 2: Convert to fraction form
    227,683.20/341,492.40 = 77,930.40/x
  3. Step 3: Cross multiply
    227,683.20x = 341,492.40 × 77,930.40
  4. Step 4: Simplify right side
    227,683.20x = 26,612,639,328.96
  5. Step 5: Solve for x
    x = 26,612,639,328.96/227,683.20
  6. Step 6: Final answer
    x = 116,884.51

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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.