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Finding the Fourth Proportional to 297,913.92, 446,900.40 and 98,236.32

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Solution

The fourth proportional to 297,913.92, 446,900.40 and 98,236.32 is: 147,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,913.92 : 446,900.40 = 98,236.32 : x
  2. Step 2: Convert to fraction form
    297,913.92/446,900.40 = 98,236.32/x
  3. Step 3: Cross multiply
    297,913.92x = 446,900.40 × 98,236.32
  4. Step 4: Simplify right side
    297,913.92x = 43,901,850,702.53
  5. Step 5: Solve for x
    x = 43,901,850,702.53/297,913.92
  6. Step 6: Final answer
    x = 147,364.21

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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.