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Finding the Fourth Proportional to 593,797, 819,417.91 and 321,859.06

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Solution

The fourth proportional to 593,797, 819,417.91 and 321,859.06 is: 444,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,797 : 819,417.91 = 321,859.06 : x
  2. Step 2: Convert to fraction form
    593,797/819,417.91 = 321,859.06/x
  3. Step 3: Cross multiply
    593,797x = 819,417.91 × 321,859.06
  4. Step 4: Simplify right side
    593,797x = 263,737,078,259.77
  5. Step 5: Solve for x
    x = 263,737,078,259.77/593,797
  6. Step 6: Final answer
    x = 444,153.61

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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.