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Finding the Fourth Proportional to 413,237.54, 619,573.32 and 210,441.08

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Solution

The fourth proportional to 413,237.54, 619,573.32 and 210,441.08 is: 315,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,237.54 : 619,573.32 = 210,441.08 : x
  2. Step 2: Convert to fraction form
    413,237.54/619,573.32 = 210,441.08/x
  3. Step 3: Cross multiply
    413,237.54x = 619,573.32 × 210,441.08
  4. Step 4: Simplify right side
    413,237.54x = 130,383,678,599.99
  5. Step 5: Solve for x
    x = 130,383,678,599.99/413,237.54
  6. Step 6: Final answer
    x = 315,517.51

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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.