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Finding the Fourth Proportional to 294,398.96, 441,658.78 and 114,480.14

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Solution

The fourth proportional to 294,398.96, 441,658.78 and 114,480.14 is: 171,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,398.96 : 441,658.78 = 114,480.14 : x
  2. Step 2: Convert to fraction form
    294,398.96/441,658.78 = 114,480.14/x
  3. Step 3: Cross multiply
    294,398.96x = 441,658.78 × 114,480.14
  4. Step 4: Simplify right side
    294,398.96x = 50,561,156,472.14
  5. Step 5: Solve for x
    x = 50,561,156,472.14/294,398.96
  6. Step 6: Final answer
    x = 171,743.67

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1.5x scale

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.