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Finding the Fourth Proportional to 597,784, 824,945.96 and 356,076.76

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Solution

The fourth proportional to 597,784, 824,945.96 and 356,076.76 is: 491,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,784 : 824,945.96 = 356,076.76 : x
  2. Step 2: Convert to fraction form
    597,784/824,945.96 = 356,076.76/x
  3. Step 3: Cross multiply
    597,784x = 824,945.96 × 356,076.76
  4. Step 4: Simplify right side
    597,784x = 293,744,084,611.89
  5. Step 5: Solve for x
    x = 293,744,084,611.89/597,784
  6. Step 6: Final answer
    x = 491,388.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.