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Finding the Fourth Proportional to 314,318.81, 433,761.75 and 171,078.50

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Solution

The fourth proportional to 314,318.81, 433,761.75 and 171,078.50 is: 236,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,318.81 : 433,761.75 = 171,078.50 : x
  2. Step 2: Convert to fraction form
    314,318.81/433,761.75 = 171,078.50/x
  3. Step 3: Cross multiply
    314,318.81x = 433,761.75 × 171,078.50
  4. Step 4: Simplify right side
    314,318.81x = 74,207,310,631.78
  5. Step 5: Solve for x
    x = 74,207,310,631.78/314,318.81
  6. Step 6: Final answer
    x = 236,089.31

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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.