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Finding the Fourth Proportional to 508,460.42, 701,683.56 and 293,619.26

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Solution

The fourth proportional to 508,460.42, 701,683.56 and 293,619.26 is: 405,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,460.42 : 701,683.56 = 293,619.26 : x
  2. Step 2: Convert to fraction form
    508,460.42/701,683.56 = 293,619.26/x
  3. Step 3: Cross multiply
    508,460.42x = 701,683.56 × 293,619.26
  4. Step 4: Simplify right side
    508,460.42x = 206,027,804,132.95
  5. Step 5: Solve for x
    x = 206,027,804,132.95/508,460.42
  6. Step 6: Final answer
    x = 405,199.30

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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.