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Finding the Fourth Proportional to 525,888.41, 725,725.94 and 284,170.98

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Solution

The fourth proportional to 525,888.41, 725,725.94 and 284,170.98 is: 392,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,888.41 : 725,725.94 = 284,170.98 : x
  2. Step 2: Convert to fraction form
    525,888.41/725,725.94 = 284,170.98/x
  3. Step 3: Cross multiply
    525,888.41x = 725,725.94 × 284,170.98
  4. Step 4: Simplify right side
    525,888.41x = 206,230,250,160.37
  5. Step 5: Solve for x
    x = 206,230,250,160.37/525,888.41
  6. Step 6: Final answer
    x = 392,155.92

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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.