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Finding the Fourth Proportional to 525,729.29, 725,521.46 and 293,161.59

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Solution

The fourth proportional to 525,729.29, 725,521.46 and 293,161.59 is: 404,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,729.29 : 725,521.46 = 293,161.59 : x
  2. Step 2: Convert to fraction form
    525,729.29/725,521.46 = 293,161.59/x
  3. Step 3: Cross multiply
    525,729.29x = 725,521.46 × 293,161.59
  4. Step 4: Simplify right side
    525,729.29x = 212,695,023,326.91
  5. Step 5: Solve for x
    x = 212,695,023,326.91/525,729.29
  6. Step 6: Final answer
    x = 404,571.38

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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.