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Finding the Fourth Proportional to 463,128.89, 694,596.12 and 130,627.13

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Solution

The fourth proportional to 463,128.89, 694,596.12 and 130,627.13 is: 195,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,128.89 : 694,596.12 = 130,627.13 : x
  2. Step 2: Convert to fraction form
    463,128.89/694,596.12 = 130,627.13/x
  3. Step 3: Cross multiply
    463,128.89x = 694,596.12 × 130,627.13
  4. Step 4: Simplify right side
    463,128.89x = 90,733,097,664.74
  5. Step 5: Solve for x
    x = 90,733,097,664.74/463,128.89
  6. Step 6: Final answer
    x = 195,913.28

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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.