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Finding the Fourth Proportional to 292,633.88, 403,867.64 and 165,317.72

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Solution

The fourth proportional to 292,633.88, 403,867.64 and 165,317.72 is: 228,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,633.88 : 403,867.64 = 165,317.72 : x
  2. Step 2: Convert to fraction form
    292,633.88/403,867.64 = 165,317.72/x
  3. Step 3: Cross multiply
    292,633.88x = 403,867.64 × 165,317.72
  4. Step 4: Simplify right side
    292,633.88x = 66,766,477,426.58
  5. Step 5: Solve for x
    x = 66,766,477,426.58/292,633.88
  6. Step 6: Final answer
    x = 228,157.03

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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.