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Finding the Fourth Proportional to 332,594.70, 498,782.70 and 122,205.30

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Solution

The fourth proportional to 332,594.70, 498,782.70 and 122,205.30 is: 183,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,594.70 : 498,782.70 = 122,205.30 : x
  2. Step 2: Convert to fraction form
    332,594.70/498,782.70 = 122,205.30/x
  3. Step 3: Cross multiply
    332,594.70x = 498,782.70 × 122,205.30
  4. Step 4: Simplify right side
    332,594.70x = 60,953,889,488.31
  5. Step 5: Solve for x
    x = 60,953,889,488.31/332,594.70
  6. Step 6: Final answer
    x = 183,267.77

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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.