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Finding the Fourth Proportional to 314,412.28, 433,888.20 and 171,173.32

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Solution

The fourth proportional to 314,412.28, 433,888.20 and 171,173.32 is: 236,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,412.28 : 433,888.20 = 171,173.32 : x
  2. Step 2: Convert to fraction form
    314,412.28/433,888.20 = 171,173.32/x
  3. Step 3: Cross multiply
    314,412.28x = 433,888.20 × 171,173.32
  4. Step 4: Simplify right side
    314,412.28x = 74,270,083,702.82
  5. Step 5: Solve for x
    x = 74,270,083,702.82/314,412.28
  6. Step 6: Final answer
    x = 236,218.78

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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.