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Finding the Fourth Proportional to 296,042.64, 444,180.72 and 129,714

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Solution

The fourth proportional to 296,042.64, 444,180.72 and 129,714 is: 194,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,042.64 : 444,180.72 = 129,714 : x
  2. Step 2: Convert to fraction form
    296,042.64/444,180.72 = 129,714/x
  3. Step 3: Cross multiply
    296,042.64x = 444,180.72 × 129,714
  4. Step 4: Simplify right side
    296,042.64x = 57,616,457,914.08
  5. Step 5: Solve for x
    x = 57,616,457,914.08/296,042.64
  6. Step 6: Final answer
    x = 194,622.16

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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.