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Finding the Fourth Proportional to 312,099.20, 468,148.80 and 298,977.20

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Solution

The fourth proportional to 312,099.20, 468,148.80 and 298,977.20 is: 448,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,099.20 : 468,148.80 = 298,977.20 : x
  2. Step 2: Convert to fraction form
    312,099.20/468,148.80 = 298,977.20/x
  3. Step 3: Cross multiply
    312,099.20x = 468,148.80 × 298,977.20
  4. Step 4: Simplify right side
    312,099.20x = 139,965,817,407.36
  5. Step 5: Solve for x
    x = 139,965,817,407.36/312,099.20
  6. Step 6: Final answer
    x = 448,465.80

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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.