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Finding the Fourth Proportional to 298,653.95, 447,967.89 and 96,245.56

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Solution

The fourth proportional to 298,653.95, 447,967.89 and 96,245.56 is: 144,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,653.95 : 447,967.89 = 96,245.56 : x
  2. Step 2: Convert to fraction form
    298,653.95/447,967.89 = 96,245.56/x
  3. Step 3: Cross multiply
    298,653.95x = 447,967.89 × 96,245.56
  4. Step 4: Simplify right side
    298,653.95x = 43,114,920,005.81
  5. Step 5: Solve for x
    x = 43,114,920,005.81/298,653.95
  6. Step 6: Final answer
    x = 144,364.14

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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.