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Finding the Fourth Proportional to 382,359.29, 573,615.47 and 214,118.84

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Solution

The fourth proportional to 382,359.29, 573,615.47 and 214,118.84 is: 321,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,359.29 : 573,615.47 = 214,118.84 : x
  2. Step 2: Convert to fraction form
    382,359.29/573,615.47 = 214,118.84/x
  3. Step 3: Cross multiply
    382,359.29x = 573,615.47 × 214,118.84
  4. Step 4: Simplify right side
    382,359.29x = 122,821,881,011.79
  5. Step 5: Solve for x
    x = 122,821,881,011.79/382,359.29
  6. Step 6: Final answer
    x = 321,221.13

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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.