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Finding the Fourth Proportional to 312,497.40, 431,272.92 and 176,556.30

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Solution

The fourth proportional to 312,497.40, 431,272.92 and 176,556.30 is: 243,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,497.40 : 431,272.92 = 176,556.30 : x
  2. Step 2: Convert to fraction form
    312,497.40/431,272.92 = 176,556.30/x
  3. Step 3: Cross multiply
    312,497.40x = 431,272.92 × 176,556.30
  4. Step 4: Simplify right side
    312,497.40x = 76,143,951,045.40
  5. Step 5: Solve for x
    x = 76,143,951,045.40/312,497.40
  6. Step 6: Final answer
    x = 243,662.67

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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.