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Finding the Fourth Proportional to 292,698.44, 403,931.72 and 165,371.32

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Solution

The fourth proportional to 292,698.44, 403,931.72 and 165,371.32 is: 228,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,698.44 : 403,931.72 = 165,371.32 : x
  2. Step 2: Convert to fraction form
    292,698.44/403,931.72 = 165,371.32/x
  3. Step 3: Cross multiply
    292,698.44x = 403,931.72 × 165,371.32
  4. Step 4: Simplify right side
    292,698.44x = 66,798,721,726.27
  5. Step 5: Solve for x
    x = 66,798,721,726.27/292,698.44
  6. Step 6: Final answer
    x = 228,216.87

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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.