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Finding the Fourth Proportional to 314,368.27, 433,828.26 and 171,129.39

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Solution

The fourth proportional to 314,368.27, 433,828.26 and 171,129.39 is: 236,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368.27 : 433,828.26 = 171,129.39 : x
  2. Step 2: Convert to fraction form
    314,368.27/433,828.26 = 171,129.39/x
  3. Step 3: Cross multiply
    314,368.27x = 433,828.26 × 171,129.39
  4. Step 4: Simplify right side
    314,368.27x = 74,240,765,498.56
  5. Step 5: Solve for x
    x = 74,240,765,498.56/314,368.27
  6. Step 6: Final answer
    x = 236,158.58

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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.