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Finding the Fourth Proportional to 292,632.67, 403,865.87 and 165,316.46

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Solution

The fourth proportional to 292,632.67, 403,865.87 and 165,316.46 is: 228,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,632.67 : 403,865.87 = 165,316.46 : x
  2. Step 2: Convert to fraction form
    292,632.67/403,865.87 = 165,316.46/x
  3. Step 3: Cross multiply
    292,632.67x = 403,865.87 × 165,316.46
  4. Step 4: Simplify right side
    292,632.67x = 66,765,675,943.22
  5. Step 5: Solve for x
    x = 66,765,675,943.22/292,632.67
  6. Step 6: Final answer
    x = 228,155.24

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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.