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Finding the Fourth Proportional to 285,298.75, 393,707.46 and 157,971.61

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Solution

The fourth proportional to 285,298.75, 393,707.46 and 157,971.61 is: 217,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.75 : 393,707.46 = 157,971.61 : x
  2. Step 2: Convert to fraction form
    285,298.75/393,707.46 = 157,971.61/x
  3. Step 3: Cross multiply
    285,298.75x = 393,707.46 × 157,971.61
  4. Step 4: Simplify right side
    285,298.75x = 62,194,601,325.21
  5. Step 5: Solve for x
    x = 62,194,601,325.21/285,298.75
  6. Step 6: Final answer
    x = 217,998.16

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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.