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Finding the Fourth Proportional to 296,565.53, 409,258.39 and 160,596.36

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Solution

The fourth proportional to 296,565.53, 409,258.39 and 160,596.36 is: 221,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.53 : 409,258.39 = 160,596.36 : x
  2. Step 2: Convert to fraction form
    296,565.53/409,258.39 = 160,596.36/x
  3. Step 3: Cross multiply
    296,565.53x = 409,258.39 × 160,596.36
  4. Step 4: Simplify right side
    296,565.53x = 65,725,410,240.23
  5. Step 5: Solve for x
    x = 65,725,410,240.23/296,565.53
  6. Step 6: Final answer
    x = 221,621.88

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