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Finding the Fourth Proportional to 285,214.92, 393,599.70 and 157,892.64

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Solution

The fourth proportional to 285,214.92, 393,599.70 and 157,892.64 is: 217,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214.92 : 393,599.70 = 157,892.64 : x
  2. Step 2: Convert to fraction form
    285,214.92/393,599.70 = 157,892.64/x
  3. Step 3: Cross multiply
    285,214.92x = 393,599.70 × 157,892.64
  4. Step 4: Simplify right side
    285,214.92x = 62,146,495,736.21
  5. Step 5: Solve for x
    x = 62,146,495,736.21/285,214.92
  6. Step 6: Final answer
    x = 217,893.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.