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Finding the Fourth Proportional to 407,675.60, 612,096.60 and 289,869.20

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Solution

The fourth proportional to 407,675.60, 612,096.60 and 289,869.20 is: 435,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,675.60 : 612,096.60 = 289,869.20 : x
  2. Step 2: Convert to fraction form
    407,675.60/612,096.60 = 289,869.20/x
  3. Step 3: Cross multiply
    407,675.60x = 612,096.60 × 289,869.20
  4. Step 4: Simplify right side
    407,675.60x = 177,427,951,764.72
  5. Step 5: Solve for x
    x = 177,427,951,764.72/407,675.60
  6. Step 6: Final answer
    x = 435,218.47

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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.