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Finding the Fourth Proportional to 305,102.56, 457,594.33 and 224,389.96

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Solution

The fourth proportional to 305,102.56, 457,594.33 and 224,389.96 is: 336,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.56 : 457,594.33 = 224,389.96 : x
  2. Step 2: Convert to fraction form
    305,102.56/457,594.33 = 224,389.96/x
  3. Step 3: Cross multiply
    305,102.56x = 457,594.33 × 224,389.96
  4. Step 4: Simplify right side
    305,102.56x = 102,679,571,817.54
  5. Step 5: Solve for x
    x = 102,679,571,817.54/305,102.56
  6. Step 6: Final answer
    x = 336,541.17

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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.