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Finding the Fourth Proportional to 453,210.50, 680,115.22 and 213,392.98

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Solution

The fourth proportional to 453,210.50, 680,115.22 and 213,392.98 is: 320,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,210.50 : 680,115.22 = 213,392.98 : x
  2. Step 2: Convert to fraction form
    453,210.50/680,115.22 = 213,392.98/x
  3. Step 3: Cross multiply
    453,210.50x = 680,115.22 × 213,392.98
  4. Step 4: Simplify right side
    453,210.50x = 145,131,813,539.16
  5. Step 5: Solve for x
    x = 145,131,813,539.16/453,210.50
  6. Step 6: Final answer
    x = 320,230.47

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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.