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Finding the Fourth Proportional to 306,109.48, 459,168.84 and 116,580.34

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Solution

The fourth proportional to 306,109.48, 459,168.84 and 116,580.34 is: 174,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,109.48 : 459,168.84 = 116,580.34 : x
  2. Step 2: Convert to fraction form
    306,109.48/459,168.84 = 116,580.34/x
  3. Step 3: Cross multiply
    306,109.48x = 459,168.84 × 116,580.34
  4. Step 4: Simplify right side
    306,109.48x = 53,530,059,484.61
  5. Step 5: Solve for x
    x = 53,530,059,484.61/306,109.48
  6. Step 6: Final answer
    x = 174,872.27

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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.