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Finding the Fourth Proportional to 285,207.42, 393,627.42 and 164,325.54

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Solution

The fourth proportional to 285,207.42, 393,627.42 and 164,325.54 is: 226,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,207.42 : 393,627.42 = 164,325.54 : x
  2. Step 2: Convert to fraction form
    285,207.42/393,627.42 = 164,325.54/x
  3. Step 3: Cross multiply
    285,207.42x = 393,627.42 × 164,325.54
  4. Step 4: Simplify right side
    285,207.42x = 64,683,038,350.31
  5. Step 5: Solve for x
    x = 64,683,038,350.31/285,207.42
  6. Step 6: Final answer
    x = 226,792.97

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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.