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Finding the Fourth Proportional to 298,817.68, 448,489.46 and 156,764.46

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Solution

The fourth proportional to 298,817.68, 448,489.46 and 156,764.46 is: 235,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,817.68 : 448,489.46 = 156,764.46 : x
  2. Step 2: Convert to fraction form
    298,817.68/448,489.46 = 156,764.46/x
  3. Step 3: Cross multiply
    298,817.68x = 448,489.46 × 156,764.46
  4. Step 4: Simplify right side
    298,817.68x = 70,307,208,012.59
  5. Step 5: Solve for x
    x = 70,307,208,012.59/298,817.68
  6. Step 6: Final answer
    x = 235,284.63

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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.