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Finding the Fourth Proportional to 354,112.68, 531,325.80 and 185,592.84

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Solution

The fourth proportional to 354,112.68, 531,325.80 and 185,592.84 is: 278,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,112.68 : 531,325.80 = 185,592.84 : x
  2. Step 2: Convert to fraction form
    354,112.68/531,325.80 = 185,592.84/x
  3. Step 3: Cross multiply
    354,112.68x = 531,325.80 × 185,592.84
  4. Step 4: Simplify right side
    354,112.68x = 98,610,264,187.27
  5. Step 5: Solve for x
    x = 98,610,264,187.27/354,112.68
  6. Step 6: Final answer
    x = 278,471.43

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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.