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Finding the Fourth Proportional to 314,411.43, 433,885.17 and 171,171.18

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Solution

The fourth proportional to 314,411.43, 433,885.17 and 171,171.18 is: 236,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.43 : 433,885.17 = 171,171.18 : x
  2. Step 2: Convert to fraction form
    314,411.43/433,885.17 = 171,171.18/x
  3. Step 3: Cross multiply
    314,411.43x = 433,885.17 × 171,171.18
  4. Step 4: Simplify right side
    314,411.43x = 74,268,636,533.40
  5. Step 5: Solve for x
    x = 74,268,636,533.40/314,411.43
  6. Step 6: Final answer
    x = 236,214.81

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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.