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Finding the Fourth Proportional to 257,867.80, 386,801.70 and 235,706.20

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Solution

The fourth proportional to 257,867.80, 386,801.70 and 235,706.20 is: 353,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,867.80 : 386,801.70 = 235,706.20 : x
  2. Step 2: Convert to fraction form
    257,867.80/386,801.70 = 235,706.20/x
  3. Step 3: Cross multiply
    257,867.80x = 386,801.70 × 235,706.20
  4. Step 4: Simplify right side
    257,867.80x = 91,171,558,860.54
  5. Step 5: Solve for x
    x = 91,171,558,860.54/257,867.80
  6. Step 6: Final answer
    x = 353,559.30

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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.