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Finding the Fourth Proportional to 382,007.54, 573,010.71 and 101,524.79

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Solution

The fourth proportional to 382,007.54, 573,010.71 and 101,524.79 is: 152,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,007.54 : 573,010.71 = 101,524.79 : x
  2. Step 2: Convert to fraction form
    382,007.54/573,010.71 = 101,524.79/x
  3. Step 3: Cross multiply
    382,007.54x = 573,010.71 × 101,524.79
  4. Step 4: Simplify right side
    382,007.54x = 58,174,793,052.31
  5. Step 5: Solve for x
    x = 58,174,793,052.31/382,007.54
  6. Step 6: Final answer
    x = 152,287.03

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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.