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Finding the Fourth Proportional to 654,291.36, 902,917.80 and 367,813.80

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Solution

The fourth proportional to 654,291.36, 902,917.80 and 367,813.80 is: 507,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,291.36 : 902,917.80 = 367,813.80 : x
  2. Step 2: Convert to fraction form
    654,291.36/902,917.80 = 367,813.80/x
  3. Step 3: Cross multiply
    654,291.36x = 902,917.80 × 367,813.80
  4. Step 4: Simplify right side
    654,291.36x = 332,105,627,105.64
  5. Step 5: Solve for x
    x = 332,105,627,105.64/654,291.36
  6. Step 6: Final answer
    x = 507,580.64

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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.