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Finding the Fourth Proportional to 298,329.59, 447,449.96 and 98,651.02

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Solution

The fourth proportional to 298,329.59, 447,449.96 and 98,651.02 is: 147,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,329.59 : 447,449.96 = 98,651.02 : x
  2. Step 2: Convert to fraction form
    298,329.59/447,449.96 = 98,651.02/x
  3. Step 3: Cross multiply
    298,329.59x = 447,449.96 × 98,651.02
  4. Step 4: Simplify right side
    298,329.59x = 44,141,393,341.08
  5. Step 5: Solve for x
    x = 44,141,393,341.08/298,329.59
  6. Step 6: Final answer
    x = 147,961.84

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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.