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Finding the Fourth Proportional to 292,764.78, 404,004.92 and 165,437.64

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Solution

The fourth proportional to 292,764.78, 404,004.92 and 165,437.64 is: 228,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,764.78 : 404,004.92 = 165,437.64 : x
  2. Step 2: Convert to fraction form
    292,764.78/404,004.92 = 165,437.64/x
  3. Step 3: Cross multiply
    292,764.78x = 404,004.92 × 165,437.64
  4. Step 4: Simplify right side
    292,764.78x = 66,837,619,686.00
  5. Step 5: Solve for x
    x = 66,837,619,686.00/292,764.78
  6. Step 6: Final answer
    x = 228,298.02

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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.