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Finding the Fourth Proportional to 534,740.50, 737,941.89 and 319,889.62

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Solution

The fourth proportional to 534,740.50, 737,941.89 and 319,889.62 is: 441,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,740.50 : 737,941.89 = 319,889.62 : x
  2. Step 2: Convert to fraction form
    534,740.50/737,941.89 = 319,889.62/x
  3. Step 3: Cross multiply
    534,740.50x = 737,941.89 × 319,889.62
  4. Step 4: Simplify right side
    534,740.50x = 236,059,950,774.18
  5. Step 5: Solve for x
    x = 236,059,950,774.18/534,740.50
  6. Step 6: Final answer
    x = 441,447.68

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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.