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Finding the Fourth Proportional to 443,314.40, 665,068.80 and 218,782.40

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Solution

The fourth proportional to 443,314.40, 665,068.80 and 218,782.40 is: 328,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,314.40 : 665,068.80 = 218,782.40 : x
  2. Step 2: Convert to fraction form
    443,314.40/665,068.80 = 218,782.40/x
  3. Step 3: Cross multiply
    443,314.40x = 665,068.80 × 218,782.40
  4. Step 4: Simplify right side
    443,314.40x = 145,505,348,229.12
  5. Step 5: Solve for x
    x = 145,505,348,229.12/443,314.40
  6. Step 6: Final answer
    x = 328,221.57

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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.