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Finding the Fourth Proportional to 594,644.40, 892,102.80 and 257,741.60

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Solution

The fourth proportional to 594,644.40, 892,102.80 and 257,741.60 is: 386,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,644.40 : 892,102.80 = 257,741.60 : x
  2. Step 2: Convert to fraction form
    594,644.40/892,102.80 = 257,741.60/x
  3. Step 3: Cross multiply
    594,644.40x = 892,102.80 × 257,741.60
  4. Step 4: Simplify right side
    594,644.40x = 229,932,003,036.48
  5. Step 5: Solve for x
    x = 229,932,003,036.48/594,644.40
  6. Step 6: Final answer
    x = 386,671.43

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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.