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Finding the Fourth Proportional to 541,678.60, 812,020.30 and 186,608.20

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Solution

The fourth proportional to 541,678.60, 812,020.30 and 186,608.20 is: 279,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,678.60 : 812,020.30 = 186,608.20 : x
  2. Step 2: Convert to fraction form
    541,678.60/812,020.30 = 186,608.20/x
  3. Step 3: Cross multiply
    541,678.60x = 812,020.30 × 186,608.20
  4. Step 4: Simplify right side
    541,678.60x = 151,529,646,546.46
  5. Step 5: Solve for x
    x = 151,529,646,546.46/541,678.60
  6. Step 6: Final answer
    x = 279,740.88

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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.