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Finding the Fourth Proportional to 622,357.60, 933,536.40 and 408,546.40

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Solution

The fourth proportional to 622,357.60, 933,536.40 and 408,546.40 is: 612,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,357.60 : 933,536.40 = 408,546.40 : x
  2. Step 2: Convert to fraction form
    622,357.60/933,536.40 = 408,546.40/x
  3. Step 3: Cross multiply
    622,357.60x = 933,536.40 × 408,546.40
  4. Step 4: Simplify right side
    622,357.60x = 381,392,935,488.96
  5. Step 5: Solve for x
    x = 381,392,935,488.96/622,357.60
  6. Step 6: Final answer
    x = 612,819.60

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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.