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Finding the Fourth Proportional to 298,134.27, 447,106.64 and 98,417.43

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Solution

The fourth proportional to 298,134.27, 447,106.64 and 98,417.43 is: 147,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,134.27 : 447,106.64 = 98,417.43 : x
  2. Step 2: Convert to fraction form
    298,134.27/447,106.64 = 98,417.43/x
  3. Step 3: Cross multiply
    298,134.27x = 447,106.64 × 98,417.43
  4. Step 4: Simplify right side
    298,134.27x = 44,003,085,952.65
  5. Step 5: Solve for x
    x = 44,003,085,952.65/298,134.27
  6. Step 6: Final answer
    x = 147,594.86

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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.