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Finding the Fourth Proportional to 224,266, 336,405.48 and 58,054

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Solution

The fourth proportional to 224,266, 336,405.48 and 58,054 is: 87,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,266 : 336,405.48 = 58,054 : x
  2. Step 2: Convert to fraction form
    224,266/336,405.48 = 58,054/x
  3. Step 3: Cross multiply
    224,266x = 336,405.48 × 58,054
  4. Step 4: Simplify right side
    224,266x = 19,529,683,735.92
  5. Step 5: Solve for x
    x = 19,529,683,735.92/224,266
  6. Step 6: Final answer
    x = 87,082.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.