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Finding the Fourth Proportional to 257,023.30, 385,644.30 and 162,326.20

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Solution

The fourth proportional to 257,023.30, 385,644.30 and 162,326.20 is: 243,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.30 : 385,644.30 = 162,326.20 : x
  2. Step 2: Convert to fraction form
    257,023.30/385,644.30 = 162,326.20/x
  3. Step 3: Cross multiply
    257,023.30x = 385,644.30 × 162,326.20
  4. Step 4: Simplify right side
    257,023.30x = 62,600,173,770.66
  5. Step 5: Solve for x
    x = 62,600,173,770.66/257,023.30
  6. Step 6: Final answer
    x = 243,558.36

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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.