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Finding the Fourth Proportional to 336,228.53, 464,023.16 and 193,016.25

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Solution

The fourth proportional to 336,228.53, 464,023.16 and 193,016.25 is: 266,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,228.53 : 464,023.16 = 193,016.25 : x
  2. Step 2: Convert to fraction form
    336,228.53/464,023.16 = 193,016.25/x
  3. Step 3: Cross multiply
    336,228.53x = 464,023.16 × 193,016.25
  4. Step 4: Simplify right side
    336,228.53x = 89,564,010,738.89
  5. Step 5: Solve for x
    x = 89,564,010,738.89/336,228.53
  6. Step 6: Final answer
    x = 266,378.38

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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.