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Finding the Fourth Proportional to 311,865.02, 467,855.24 and 98,686.52

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Solution

The fourth proportional to 311,865.02, 467,855.24 and 98,686.52 is: 148,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.02 : 467,855.24 = 98,686.52 : x
  2. Step 2: Convert to fraction form
    311,865.02/467,855.24 = 98,686.52/x
  3. Step 3: Cross multiply
    311,865.02x = 467,855.24 × 98,686.52
  4. Step 4: Simplify right side
    311,865.02x = 46,171,005,499.36
  5. Step 5: Solve for x
    x = 46,171,005,499.36/311,865.02
  6. Step 6: Final answer
    x = 148,048.04

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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.