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Finding the Fourth Proportional to 365,511.81, 548,392.19 and 197,048.42

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Solution

The fourth proportional to 365,511.81, 548,392.19 and 197,048.42 is: 295,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,511.81 : 548,392.19 = 197,048.42 : x
  2. Step 2: Convert to fraction form
    365,511.81/548,392.19 = 197,048.42/x
  3. Step 3: Cross multiply
    365,511.81x = 548,392.19 × 197,048.42
  4. Step 4: Simplify right side
    365,511.81x = 108,059,810,852.64
  5. Step 5: Solve for x
    x = 108,059,810,852.64/365,511.81
  6. Step 6: Final answer
    x = 295,639.72

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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.