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Finding the Fourth Proportional to 300,438.96, 414,598.68 and 173,186.16

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Solution

The fourth proportional to 300,438.96, 414,598.68 and 173,186.16 is: 238,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,438.96 : 414,598.68 = 173,186.16 : x
  2. Step 2: Convert to fraction form
    300,438.96/414,598.68 = 173,186.16/x
  3. Step 3: Cross multiply
    300,438.96x = 414,598.68 × 173,186.16
  4. Step 4: Simplify right side
    300,438.96x = 71,802,753,330.27
  5. Step 5: Solve for x
    x = 71,802,753,330.27/300,438.96
  6. Step 6: Final answer
    x = 238,992.82

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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.