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Finding the Fourth Proportional to 311,852.06, 467,848.32 and 98,632.90

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Solution

The fourth proportional to 311,852.06, 467,848.32 and 98,632.90 is: 147,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.06 : 467,848.32 = 98,632.90 : x
  2. Step 2: Convert to fraction form
    311,852.06/467,848.32 = 98,632.90/x
  3. Step 3: Cross multiply
    311,852.06x = 467,848.32 × 98,632.90
  4. Step 4: Simplify right side
    311,852.06x = 46,145,236,561.73
  5. Step 5: Solve for x
    x = 46,145,236,561.73/311,852.06
  6. Step 6: Final answer
    x = 147,971.56

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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.