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Finding the Fourth Proportional to 284,813.50, 426,940.80 and 158,514.25

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Solution

The fourth proportional to 284,813.50, 426,940.80 and 158,514.25 is: 237,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,813.50 : 426,940.80 = 158,514.25 : x
  2. Step 2: Convert to fraction form
    284,813.50/426,940.80 = 158,514.25/x
  3. Step 3: Cross multiply
    284,813.50x = 426,940.80 × 158,514.25
  4. Step 4: Simplify right side
    284,813.50x = 67,676,200,706.40
  5. Step 5: Solve for x
    x = 67,676,200,706.40/284,813.50
  6. Step 6: Final answer
    x = 237,615.85

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1.5x scale

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.