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Finding the Fourth Proportional to 446,093.64, 615,459.30 and 285,042.96

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Solution

The fourth proportional to 446,093.64, 615,459.30 and 285,042.96 is: 393,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,093.64 : 615,459.30 = 285,042.96 : x
  2. Step 2: Convert to fraction form
    446,093.64/615,459.30 = 285,042.96/x
  3. Step 3: Cross multiply
    446,093.64x = 615,459.30 × 285,042.96
  4. Step 4: Simplify right side
    446,093.64x = 175,432,340,631.53
  5. Step 5: Solve for x
    x = 175,432,340,631.53/446,093.64
  6. Step 6: Final answer
    x = 393,263.49

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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.