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Finding the Fourth Proportional to 292,424.28, 403,500 and 165,097.20

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Solution

The fourth proportional to 292,424.28, 403,500 and 165,097.20 is: 227,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,424.28 : 403,500 = 165,097.20 : x
  2. Step 2: Convert to fraction form
    292,424.28/403,500 = 165,097.20/x
  3. Step 3: Cross multiply
    292,424.28x = 403,500 × 165,097.20
  4. Step 4: Simplify right side
    292,424.28x = 66,616,720,200.00
  5. Step 5: Solve for x
    x = 66,616,720,200.00/292,424.28
  6. Step 6: Final answer
    x = 227,808.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.