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Finding the Fourth Proportional to 407,946.40, 611,682 and 158,336.80

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Solution

The fourth proportional to 407,946.40, 611,682 and 158,336.80 is: 237,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,946.40 : 611,682 = 158,336.80 : x
  2. Step 2: Convert to fraction form
    407,946.40/611,682 = 158,336.80/x
  3. Step 3: Cross multiply
    407,946.40x = 611,682 × 158,336.80
  4. Step 4: Simplify right side
    407,946.40x = 96,851,770,497.60
  5. Step 5: Solve for x
    x = 96,851,770,497.60/407,946.40
  6. Step 6: Final answer
    x = 237,412.98

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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.