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Finding the Fourth Proportional to 298,169.48, 447,298.44 and 98,510.96

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Solution

The fourth proportional to 298,169.48, 447,298.44 and 98,510.96 is: 147,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,169.48 : 447,298.44 = 98,510.96 : x
  2. Step 2: Convert to fraction form
    298,169.48/447,298.44 = 98,510.96/x
  3. Step 3: Cross multiply
    298,169.48x = 447,298.44 × 98,510.96
  4. Step 4: Simplify right side
    298,169.48x = 44,063,798,730.90
  5. Step 5: Solve for x
    x = 44,063,798,730.90/298,169.48
  6. Step 6: Final answer
    x = 147,781.05

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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.