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Finding the Fourth Proportional to 284,677.65, 426,743.10 and 164,611.35

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Solution

The fourth proportional to 284,677.65, 426,743.10 and 164,611.35 is: 246,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,677.65 : 426,743.10 = 164,611.35 : x
  2. Step 2: Convert to fraction form
    284,677.65/426,743.10 = 164,611.35/x
  3. Step 3: Cross multiply
    284,677.65x = 426,743.10 × 164,611.35
  4. Step 4: Simplify right side
    284,677.65x = 70,246,757,794.19
  5. Step 5: Solve for x
    x = 70,246,757,794.19/284,677.65
  6. Step 6: Final answer
    x = 246,758.95

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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.