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Finding the Fourth Proportional to 298,922.94, 412,510.95 and 164,786.94

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Solution

The fourth proportional to 298,922.94, 412,510.95 and 164,786.94 is: 227,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,922.94 : 412,510.95 = 164,786.94 : x
  2. Step 2: Convert to fraction form
    298,922.94/412,510.95 = 164,786.94/x
  3. Step 3: Cross multiply
    298,922.94x = 412,510.95 × 164,786.94
  4. Step 4: Simplify right side
    298,922.94x = 67,976,417,166.99
  5. Step 5: Solve for x
    x = 67,976,417,166.99/298,922.94
  6. Step 6: Final answer
    x = 227,404.48

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1.5x scale

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.