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Finding the Fourth Proportional to 284,447.85, 426,421.28 and 116,109.67

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Solution

The fourth proportional to 284,447.85, 426,421.28 and 116,109.67 is: 174,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,447.85 : 426,421.28 = 116,109.67 : x
  2. Step 2: Convert to fraction form
    284,447.85/426,421.28 = 116,109.67/x
  3. Step 3: Cross multiply
    284,447.85x = 426,421.28 × 116,109.67
  4. Step 4: Simplify right side
    284,447.85x = 49,511,633,472.42
  5. Step 5: Solve for x
    x = 49,511,633,472.42/284,447.85
  6. Step 6: Final answer
    x = 174,062.25

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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.