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Finding the Fourth Proportional to 382,368.29, 573,629.00 and 214,127.87

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Solution

The fourth proportional to 382,368.29, 573,629.00 and 214,127.87 is: 321,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,368.29 : 573,629.00 = 214,127.87 : x
  2. Step 2: Convert to fraction form
    382,368.29/573,629.00 = 214,127.87/x
  3. Step 3: Cross multiply
    382,368.29x = 573,629.00 × 214,127.87
  4. Step 4: Simplify right side
    382,368.29x = 122,829,952,001.45
  5. Step 5: Solve for x
    x = 122,829,952,001.45/382,368.29
  6. Step 6: Final answer
    x = 321,234.68

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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.