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Finding the Fourth Proportional to 508,768.56, 702,137.16 and 282,412.44

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Solution

The fourth proportional to 508,768.56, 702,137.16 and 282,412.44 is: 389,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,768.56 : 702,137.16 = 282,412.44 : x
  2. Step 2: Convert to fraction form
    508,768.56/702,137.16 = 282,412.44/x
  3. Step 3: Cross multiply
    508,768.56x = 702,137.16 × 282,412.44
  4. Step 4: Simplify right side
    508,768.56x = 198,292,268,570.27
  5. Step 5: Solve for x
    x = 198,292,268,570.27/508,768.56
  6. Step 6: Final answer
    x = 389,749.45

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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.