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Finding the Fourth Proportional to 389,735.32, 537,809.34 and 219,946.36

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Solution

The fourth proportional to 389,735.32, 537,809.34 and 219,946.36 is: 303,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,735.32 : 537,809.34 = 219,946.36 : x
  2. Step 2: Convert to fraction form
    389,735.32/537,809.34 = 219,946.36/x
  3. Step 3: Cross multiply
    389,735.32x = 537,809.34 × 219,946.36
  4. Step 4: Simplify right side
    389,735.32x = 118,289,206,707.00
  5. Step 5: Solve for x
    x = 118,289,206,707.00/389,735.32
  6. Step 6: Final answer
    x = 303,511.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.