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Finding the Fourth Proportional to 256,229,800.40, 384,307,375.80 and 74,458,024.40

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Solution

The fourth proportional to 256,229,800.40, 384,307,375.80 and 74,458,024.40 is: 111,676,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,229,800.40 : 384,307,375.80 = 74,458,024.40 : x
  2. Step 2: Convert to fraction form
    256,229,800.40/384,307,375.80 = 74,458,024.40/x
  3. Step 3: Cross multiply
    256,229,800.40x = 384,307,375.80 × 74,458,024.40
  4. Step 4: Simplify right side
    256,229,800.40x = 28,614,767,964,416,372
  5. Step 5: Solve for x
    x = 28,614,767,964,416,372/256,229,800.40
  6. Step 6: Final answer
    x = 111,676,190.36

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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.