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Finding the Fourth Proportional to 651,200.20, 976,800.30 and 414,712.60

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Solution

The fourth proportional to 651,200.20, 976,800.30 and 414,712.60 is: 622,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,200.20 : 976,800.30 = 414,712.60 : x
  2. Step 2: Convert to fraction form
    651,200.20/976,800.30 = 414,712.60/x
  3. Step 3: Cross multiply
    651,200.20x = 976,800.30 × 414,712.60
  4. Step 4: Simplify right side
    651,200.20x = 405,091,392,093.78
  5. Step 5: Solve for x
    x = 405,091,392,093.78/651,200.20
  6. Step 6: Final answer
    x = 622,068.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.