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Finding the Fourth Proportional to 311,863.02, 467,852.24 and 98,684.52

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Solution

The fourth proportional to 311,863.02, 467,852.24 and 98,684.52 is: 148,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,863.02 : 467,852.24 = 98,684.52 : x
  2. Step 2: Convert to fraction form
    311,863.02/467,852.24 = 98,684.52/x
  3. Step 3: Cross multiply
    311,863.02x = 467,852.24 × 98,684.52
  4. Step 4: Simplify right side
    311,863.02x = 46,169,773,735.32
  5. Step 5: Solve for x
    x = 46,169,773,735.32/311,863.02
  6. Step 6: Final answer
    x = 148,045.04

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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.