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Finding the Fourth Proportional to 475,174.70, 655,741.02 and 284,188.10

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Solution

The fourth proportional to 475,174.70, 655,741.02 and 284,188.10 is: 392,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,174.70 : 655,741.02 = 284,188.10 : x
  2. Step 2: Convert to fraction form
    475,174.70/655,741.02 = 284,188.10/x
  3. Step 3: Cross multiply
    475,174.70x = 655,741.02 × 284,188.10
  4. Step 4: Simplify right side
    475,174.70x = 186,353,794,565.86
  5. Step 5: Solve for x
    x = 186,353,794,565.86/475,174.70
  6. Step 6: Final answer
    x = 392,179.54

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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.