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Finding the Fourth Proportional to 531,221, 733,084.98 and 292,757

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Solution

The fourth proportional to 531,221, 733,084.98 and 292,757 is: 404,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,221 : 733,084.98 = 292,757 : x
  2. Step 2: Convert to fraction form
    531,221/733,084.98 = 292,757/x
  3. Step 3: Cross multiply
    531,221x = 733,084.98 × 292,757
  4. Step 4: Simplify right side
    531,221x = 214,615,759,489.86
  5. Step 5: Solve for x
    x = 214,615,759,489.86/531,221
  6. Step 6: Final answer
    x = 404,004.66

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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.