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Finding the Fourth Proportional to 257,697, 386,807.58 and 177,740.52

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Solution

The fourth proportional to 257,697, 386,807.58 and 177,740.52 is: 266,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697 : 386,807.58 = 177,740.52 : x
  2. Step 2: Convert to fraction form
    257,697/386,807.58 = 177,740.52/x
  3. Step 3: Cross multiply
    257,697x = 386,807.58 × 177,740.52
  4. Step 4: Simplify right side
    257,697x = 68,751,380,409.14
  5. Step 5: Solve for x
    x = 68,751,380,409.14/257,697
  6. Step 6: Final answer
    x = 266,791.54

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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.