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Finding the Fourth Proportional to 446,099.73, 615,416.70 and 264,819.30

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Solution

The fourth proportional to 446,099.73, 615,416.70 and 264,819.30 is: 365,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,099.73 : 615,416.70 = 264,819.30 : x
  2. Step 2: Convert to fraction form
    446,099.73/615,416.70 = 264,819.30/x
  3. Step 3: Cross multiply
    446,099.73x = 615,416.70 × 264,819.30
  4. Step 4: Simplify right side
    446,099.73x = 162,974,219,702.31
  5. Step 5: Solve for x
    x = 162,974,219,702.31/446,099.73
  6. Step 6: Final answer
    x = 365,331.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.