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Finding the Fourth Proportional to 292,699.44, 403,933.10 and 165,372.32

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Solution

The fourth proportional to 292,699.44, 403,933.10 and 165,372.32 is: 228,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,699.44 : 403,933.10 = 165,372.32 : x
  2. Step 2: Convert to fraction form
    292,699.44/403,933.10 = 165,372.32/x
  3. Step 3: Cross multiply
    292,699.44x = 403,933.10 × 165,372.32
  4. Step 4: Simplify right side
    292,699.44x = 66,799,353,871.79
  5. Step 5: Solve for x
    x = 66,799,353,871.79/292,699.44
  6. Step 6: Final answer
    x = 228,218.25

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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.