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Finding the Fourth Proportional to 284,514.42, 426,770 and 116,033.88

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Solution

The fourth proportional to 284,514.42, 426,770 and 116,033.88 is: 174,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,514.42 : 426,770 = 116,033.88 : x
  2. Step 2: Convert to fraction form
    284,514.42/426,770 = 116,033.88/x
  3. Step 3: Cross multiply
    284,514.42x = 426,770 × 116,033.88
  4. Step 4: Simplify right side
    284,514.42x = 49,519,778,967.60
  5. Step 5: Solve for x
    x = 49,519,778,967.60/284,514.42
  6. Step 6: Final answer
    x = 174,050.16

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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.