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Finding the Fourth Proportional to 341,289.84, 470,947.32 and 190,396.56

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Solution

The fourth proportional to 341,289.84, 470,947.32 and 190,396.56 is: 262,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,289.84 : 470,947.32 = 190,396.56 : x
  2. Step 2: Convert to fraction form
    341,289.84/470,947.32 = 190,396.56/x
  3. Step 3: Cross multiply
    341,289.84x = 470,947.32 × 190,396.56
  4. Step 4: Simplify right side
    341,289.84x = 89,666,749,669.22
  5. Step 5: Solve for x
    x = 89,666,749,669.22/341,289.84
  6. Step 6: Final answer
    x = 262,729.03

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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.