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Finding the Fourth Proportional to 314,718.24, 434,305.68 and 171,479.28

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Solution

The fourth proportional to 314,718.24, 434,305.68 and 171,479.28 is: 236,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718.24 : 434,305.68 = 171,479.28 : x
  2. Step 2: Convert to fraction form
    314,718.24/434,305.68 = 171,479.28/x
  3. Step 3: Cross multiply
    314,718.24x = 434,305.68 × 171,479.28
  4. Step 4: Simplify right side
    314,718.24x = 74,474,425,306.31
  5. Step 5: Solve for x
    x = 74,474,425,306.31/314,718.24
  6. Step 6: Final answer
    x = 236,638.41

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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.