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Finding the Fourth Proportional to 597,989.71, 825,320.44 and 356,412.41

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Solution

The fourth proportional to 597,989.71, 825,320.44 and 356,412.41 is: 491,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,989.71 : 825,320.44 = 356,412.41 : x
  2. Step 2: Convert to fraction form
    597,989.71/825,320.44 = 356,412.41/x
  3. Step 3: Cross multiply
    597,989.71x = 825,320.44 × 356,412.41
  4. Step 4: Simplify right side
    597,989.71x = 294,154,447,042.66
  5. Step 5: Solve for x
    x = 294,154,447,042.66/597,989.71
  6. Step 6: Final answer
    x = 491,905.53

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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.