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Finding the Fourth Proportional to 468,203.22, 646,118.37 and 253,347.09

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Solution

The fourth proportional to 468,203.22, 646,118.37 and 253,347.09 is: 349,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,203.22 : 646,118.37 = 253,347.09 : x
  2. Step 2: Convert to fraction form
    468,203.22/646,118.37 = 253,347.09/x
  3. Step 3: Cross multiply
    468,203.22x = 646,118.37 × 253,347.09
  4. Step 4: Simplify right side
    468,203.22x = 163,692,208,835.04
  5. Step 5: Solve for x
    x = 163,692,208,835.04/468,203.22
  6. Step 6: Final answer
    x = 349,617.86

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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.