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Finding the Fourth Proportional to 298,276.84, 447,350.46 and 98,549.92

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Solution

The fourth proportional to 298,276.84, 447,350.46 and 98,549.92 is: 147,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,276.84 : 447,350.46 = 98,549.92 : x
  2. Step 2: Convert to fraction form
    298,276.84/447,350.46 = 98,549.92/x
  3. Step 3: Cross multiply
    298,276.84x = 447,350.46 × 98,549.92
  4. Step 4: Simplify right side
    298,276.84x = 44,086,352,044.96
  5. Step 5: Solve for x
    x = 44,086,352,044.96/298,276.84
  6. Step 6: Final answer
    x = 147,803.47

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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.