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Finding the Fourth Proportional to 354,658.74, 489,426.54 and 201,696.98

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Solution

The fourth proportional to 354,658.74, 489,426.54 and 201,696.98 is: 278,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,658.74 : 489,426.54 = 201,696.98 : x
  2. Step 2: Convert to fraction form
    354,658.74/489,426.54 = 201,696.98/x
  3. Step 3: Cross multiply
    354,658.74x = 489,426.54 × 201,696.98
  4. Step 4: Simplify right side
    354,658.74x = 98,715,855,049.85
  5. Step 5: Solve for x
    x = 98,715,855,049.85/354,658.74
  6. Step 6: Final answer
    x = 278,340.40

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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.