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Finding the Fourth Proportional to 506,224, 759,379.74 and 132,247

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Solution

The fourth proportional to 506,224, 759,379.74 and 132,247 is: 198,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,224 : 759,379.74 = 132,247 : x
  2. Step 2: Convert to fraction form
    506,224/759,379.74 = 132,247/x
  3. Step 3: Cross multiply
    506,224x = 759,379.74 × 132,247
  4. Step 4: Simplify right side
    506,224x = 100,425,692,475.78
  5. Step 5: Solve for x
    x = 100,425,692,475.78/506,224
  6. Step 6: Final answer
    x = 198,381.93

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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.