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Finding the Fourth Proportional to 298,288.84, 447,503.36 and 98,609.24

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Solution

The fourth proportional to 298,288.84, 447,503.36 and 98,609.24 is: 147,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.84 : 447,503.36 = 98,609.24 : x
  2. Step 2: Convert to fraction form
    298,288.84/447,503.36 = 98,609.24/x
  3. Step 3: Cross multiply
    298,288.84x = 447,503.36 × 98,609.24
  4. Step 4: Simplify right side
    298,288.84x = 44,127,966,227.05
  5. Step 5: Solve for x
    x = 44,127,966,227.05/298,288.84
  6. Step 6: Final answer
    x = 147,937.03

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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.