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Finding the Fourth Proportional to 531,213, 733,073.96 and 292,749

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Solution

The fourth proportional to 531,213, 733,073.96 and 292,749 is: 403,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,213 : 733,073.96 = 292,749 : x
  2. Step 2: Convert to fraction form
    531,213/733,073.96 = 292,749/x
  3. Step 3: Cross multiply
    531,213x = 733,073.96 × 292,749
  4. Step 4: Simplify right side
    531,213x = 214,606,668,716.04
  5. Step 5: Solve for x
    x = 214,606,668,716.04/531,213
  6. Step 6: Final answer
    x = 403,993.63

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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.