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Finding the Fourth Proportional to 292,378.82, 403,460.25 and 165,066.98

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Solution

The fourth proportional to 292,378.82, 403,460.25 and 165,066.98 is: 227,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,378.82 : 403,460.25 = 165,066.98 : x
  2. Step 2: Convert to fraction form
    292,378.82/403,460.25 = 165,066.98/x
  3. Step 3: Cross multiply
    292,378.82x = 403,460.25 × 165,066.98
  4. Step 4: Simplify right side
    292,378.82x = 66,597,965,017.55
  5. Step 5: Solve for x
    x = 66,597,965,017.55/292,378.82
  6. Step 6: Final answer
    x = 227,779.72

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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.