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Finding the Fourth Proportional to 531,786, 733,864.68 and 293,322

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Solution

The fourth proportional to 531,786, 733,864.68 and 293,322 is: 404,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,786 : 733,864.68 = 293,322 : x
  2. Step 2: Convert to fraction form
    531,786/733,864.68 = 293,322/x
  3. Step 3: Cross multiply
    531,786x = 733,864.68 × 293,322
  4. Step 4: Simplify right side
    531,786x = 215,258,655,666.96
  5. Step 5: Solve for x
    x = 215,258,655,666.96/531,786
  6. Step 6: Final answer
    x = 404,784.36

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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.