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Finding the Fourth Proportional to 936,827, 1,292,996.40 and 534,419

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Solution

The fourth proportional to 936,827, 1,292,996.40 and 534,419 is: 737,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,827 : 1,292,996.40 = 534,419 : x
  2. Step 2: Convert to fraction form
    936,827/1,292,996.40 = 534,419/x
  3. Step 3: Cross multiply
    936,827x = 1,292,996.40 × 534,419
  4. Step 4: Simplify right side
    936,827x = 691,001,843,091.60
  5. Step 5: Solve for x
    x = 691,001,843,091.60/936,827
  6. Step 6: Final answer
    x = 737,598.13

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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.