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Finding the Fourth Proportional to 298,292.52, 447,879.42 and 199,070.76

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Solution

The fourth proportional to 298,292.52, 447,879.42 and 199,070.76 is: 298,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,292.52 : 447,879.42 = 199,070.76 : x
  2. Step 2: Convert to fraction form
    298,292.52/447,879.42 = 199,070.76/x
  3. Step 3: Cross multiply
    298,292.52x = 447,879.42 × 199,070.76
  4. Step 4: Simplify right side
    298,292.52x = 89,159,696,527.76
  5. Step 5: Solve for x
    x = 89,159,696,527.76/298,292.52
  6. Step 6: Final answer
    x = 298,900.21

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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.