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Finding the Fourth Proportional to 594,914.34, 892,698.93 and 257,957.58

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Solution

The fourth proportional to 594,914.34, 892,698.93 and 257,957.58 is: 387,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,914.34 : 892,698.93 = 257,957.58 : x
  2. Step 2: Convert to fraction form
    594,914.34/892,698.93 = 257,957.58/x
  3. Step 3: Cross multiply
    594,914.34x = 892,698.93 × 257,957.58
  4. Step 4: Simplify right side
    594,914.34x = 230,278,455,651.39
  5. Step 5: Solve for x
    x = 230,278,455,651.39/594,914.34
  6. Step 6: Final answer
    x = 387,078.34

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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.