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Finding the Fourth Proportional to 311,894.19, 467,858.31 and 98,646.18

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Solution

The fourth proportional to 311,894.19, 467,858.31 and 98,646.18 is: 147,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.19 : 467,858.31 = 98,646.18 : x
  2. Step 2: Convert to fraction form
    311,894.19/467,858.31 = 98,646.18/x
  3. Step 3: Cross multiply
    311,894.19x = 467,858.31 × 98,646.18
  4. Step 4: Simplify right side
    311,894.19x = 46,152,434,692.83
  5. Step 5: Solve for x
    x = 46,152,434,692.83/311,894.19
  6. Step 6: Final answer
    x = 147,974.65

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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.