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Finding the Fourth Proportional to 836,094.12, 1,153,640.50 and 509,188

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Solution

The fourth proportional to 836,094.12, 1,153,640.50 and 509,188 is: 702,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,094.12 : 1,153,640.50 = 509,188 : x
  2. Step 2: Convert to fraction form
    836,094.12/1,153,640.50 = 509,188/x
  3. Step 3: Cross multiply
    836,094.12x = 1,153,640.50 × 509,188
  4. Step 4: Simplify right side
    836,094.12x = 587,419,898,914
  5. Step 5: Solve for x
    x = 587,419,898,914/836,094.12
  6. Step 6: Final answer
    x = 702,576.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.