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Finding the Fourth Proportional to 362,838.74, 500,728.29 and 219,624.98

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Solution

The fourth proportional to 362,838.74, 500,728.29 and 219,624.98 is: 303,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,838.74 : 500,728.29 = 219,624.98 : x
  2. Step 2: Convert to fraction form
    362,838.74/500,728.29 = 219,624.98/x
  3. Step 3: Cross multiply
    362,838.74x = 500,728.29 × 219,624.98
  4. Step 4: Simplify right side
    362,838.74x = 109,972,440,676.68
  5. Step 5: Solve for x
    x = 109,972,440,676.68/362,838.74
  6. Step 6: Final answer
    x = 303,089.03

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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.