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Finding the Fourth Proportional to 292,353.84, 403,419.24 and 165,004.92

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Solution

The fourth proportional to 292,353.84, 403,419.24 and 165,004.92 is: 227,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,353.84 : 403,419.24 = 165,004.92 : x
  2. Step 2: Convert to fraction form
    292,353.84/403,419.24 = 165,004.92/x
  3. Step 3: Cross multiply
    292,353.84x = 403,419.24 × 165,004.92
  4. Step 4: Simplify right side
    292,353.84x = 66,566,159,422.66
  5. Step 5: Solve for x
    x = 66,566,159,422.66/292,353.84
  6. Step 6: Final answer
    x = 227,690.39

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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.