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Finding the Fourth Proportional to 295,200.37, 407,347 and 172,674.73

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Solution

The fourth proportional to 295,200.37, 407,347 and 172,674.73 is: 238,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,200.37 : 407,347 = 172,674.73 : x
  2. Step 2: Convert to fraction form
    295,200.37/407,347 = 172,674.73/x
  3. Step 3: Cross multiply
    295,200.37x = 407,347 × 172,674.73
  4. Step 4: Simplify right side
    295,200.37x = 70,338,533,241.31
  5. Step 5: Solve for x
    x = 70,338,533,241.31/295,200.37
  6. Step 6: Final answer
    x = 238,273.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.