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Finding the Fourth Proportional to 294,916.71, 406,943.40 and 165,837.24

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Solution

The fourth proportional to 294,916.71, 406,943.40 and 165,837.24 is: 228,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,916.71 : 406,943.40 = 165,837.24 : x
  2. Step 2: Convert to fraction form
    294,916.71/406,943.40 = 165,837.24/x
  3. Step 3: Cross multiply
    294,916.71x = 406,943.40 × 165,837.24
  4. Step 4: Simplify right side
    294,916.71x = 67,486,370,914.11
  5. Step 5: Solve for x
    x = 67,486,370,914.11/294,916.71
  6. Step 6: Final answer
    x = 228,831.96

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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.