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Finding the Fourth Proportional to 285,258.92, 393,663.34 and 156,202.83

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Solution

The fourth proportional to 285,258.92, 393,663.34 and 156,202.83 is: 215,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,258.92 : 393,663.34 = 156,202.83 : x
  2. Step 2: Convert to fraction form
    285,258.92/393,663.34 = 156,202.83/x
  3. Step 3: Cross multiply
    285,258.92x = 393,663.34 × 156,202.83
  4. Step 4: Simplify right side
    285,258.92x = 61,491,327,970.51
  5. Step 5: Solve for x
    x = 61,491,327,970.51/285,258.92
  6. Step 6: Final answer
    x = 215,563.21

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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.