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Finding the Fourth Proportional to 311,852.49, 467,836.43 and 98,674.06

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Solution

The fourth proportional to 311,852.49, 467,836.43 and 98,674.06 is: 148,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.49 : 467,836.43 = 98,674.06 : x
  2. Step 2: Convert to fraction form
    311,852.49/467,836.43 = 98,674.06/x
  3. Step 3: Cross multiply
    311,852.49x = 467,836.43 × 98,674.06
  4. Step 4: Simplify right side
    311,852.49x = 46,163,319,964.01
  5. Step 5: Solve for x
    x = 46,163,319,964.01/311,852.49
  6. Step 6: Final answer
    x = 148,029.35

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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.