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Finding the Fourth Proportional to 376,110.32, 564,258.88 and 186,659.60

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Solution

The fourth proportional to 376,110.32, 564,258.88 and 186,659.60 is: 280,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,110.32 : 564,258.88 = 186,659.60 : x
  2. Step 2: Convert to fraction form
    376,110.32/564,258.88 = 186,659.60/x
  3. Step 3: Cross multiply
    376,110.32x = 564,258.88 × 186,659.60
  4. Step 4: Simplify right side
    376,110.32x = 105,324,336,837.25
  5. Step 5: Solve for x
    x = 105,324,336,837.25/376,110.32
  6. Step 6: Final answer
    x = 280,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.