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Finding the Fourth Proportional to 453,821.60, 680,951.10 and 320,414.60

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Solution

The fourth proportional to 453,821.60, 680,951.10 and 320,414.60 is: 480,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,821.60 : 680,951.10 = 320,414.60 : x
  2. Step 2: Convert to fraction form
    453,821.60/680,951.10 = 320,414.60/x
  3. Step 3: Cross multiply
    453,821.60x = 680,951.10 × 320,414.60
  4. Step 4: Simplify right side
    453,821.60x = 218,186,674,326.06
  5. Step 5: Solve for x
    x = 218,186,674,326.06/453,821.60
  6. Step 6: Final answer
    x = 480,776.31

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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.