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Finding the Fourth Proportional to 306,383.49, 459,587.60 and 106,724.07

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Solution

The fourth proportional to 306,383.49, 459,587.60 and 106,724.07 is: 160,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,383.49 : 459,587.60 = 106,724.07 : x
  2. Step 2: Convert to fraction form
    306,383.49/459,587.60 = 106,724.07/x
  3. Step 3: Cross multiply
    306,383.49x = 459,587.60 × 106,724.07
  4. Step 4: Simplify right side
    306,383.49x = 49,049,059,193.53
  5. Step 5: Solve for x
    x = 49,049,059,193.53/306,383.49
  6. Step 6: Final answer
    x = 160,090.41

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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.