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Finding the Fourth Proportional to 292,711.51, 403,936.63 and 165,384.37

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Solution

The fourth proportional to 292,711.51, 403,936.63 and 165,384.37 is: 228,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,711.51 : 403,936.63 = 165,384.37 : x
  2. Step 2: Convert to fraction form
    292,711.51/403,936.63 = 165,384.37/x
  3. Step 3: Cross multiply
    292,711.51x = 403,936.63 × 165,384.37
  4. Step 4: Simplify right side
    292,711.51x = 66,804,805,072.47
  5. Step 5: Solve for x
    x = 66,804,805,072.47/292,711.51
  6. Step 6: Final answer
    x = 228,227.46

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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.