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Finding the Fourth Proportional to 359,478.29, 496,138.20 and 214,301.89

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Solution

The fourth proportional to 359,478.29, 496,138.20 and 214,301.89 is: 295,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,478.29 : 496,138.20 = 214,301.89 : x
  2. Step 2: Convert to fraction form
    359,478.29/496,138.20 = 214,301.89/x
  3. Step 3: Cross multiply
    359,478.29x = 496,138.20 × 214,301.89
  4. Step 4: Simplify right side
    359,478.29x = 106,323,353,961.20
  5. Step 5: Solve for x
    x = 106,323,353,961.20/359,478.29
  6. Step 6: Final answer
    x = 295,771.28

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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.