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Finding the Fourth Proportional to 610,806.68, 916,268.32 and 189,969.56

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Solution

The fourth proportional to 610,806.68, 916,268.32 and 189,969.56 is: 284,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,806.68 : 916,268.32 = 189,969.56 : x
  2. Step 2: Convert to fraction form
    610,806.68/916,268.32 = 189,969.56/x
  3. Step 3: Cross multiply
    610,806.68x = 916,268.32 × 189,969.56
  4. Step 4: Simplify right side
    610,806.68x = 174,063,089,592.34
  5. Step 5: Solve for x
    x = 174,063,089,592.34/610,806.68
  6. Step 6: Final answer
    x = 284,972.47

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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.