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Finding the Fourth Proportional to 382,218.60, 573,443.10 and 204,810.60

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Solution

The fourth proportional to 382,218.60, 573,443.10 and 204,810.60 is: 307,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,218.60 : 573,443.10 = 204,810.60 : x
  2. Step 2: Convert to fraction form
    382,218.60/573,443.10 = 204,810.60/x
  3. Step 3: Cross multiply
    382,218.60x = 573,443.10 × 204,810.60
  4. Step 4: Simplify right side
    382,218.60x = 117,447,225,376.86
  5. Step 5: Solve for x
    x = 117,447,225,376.86/382,218.60
  6. Step 6: Final answer
    x = 307,277.63

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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.