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Finding the Fourth Proportional to 314,318.70, 433,769.58 and 171,088.38

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Solution

The fourth proportional to 314,318.70, 433,769.58 and 171,088.38 is: 236,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,318.70 : 433,769.58 = 171,088.38 : x
  2. Step 2: Convert to fraction form
    314,318.70/433,769.58 = 171,088.38/x
  3. Step 3: Cross multiply
    314,318.70x = 433,769.58 × 171,088.38
  4. Step 4: Simplify right side
    314,318.70x = 74,212,934,735.48
  5. Step 5: Solve for x
    x = 74,212,934,735.48/314,318.70
  6. Step 6: Final answer
    x = 236,107.28

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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.