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Finding the Fourth Proportional to 597,869.91, 825,019.02 and 336,264.48

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Solution

The fourth proportional to 597,869.91, 825,019.02 and 336,264.48 is: 464,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,869.91 : 825,019.02 = 336,264.48 : x
  2. Step 2: Convert to fraction form
    597,869.91/825,019.02 = 336,264.48/x
  3. Step 3: Cross multiply
    597,869.91x = 825,019.02 × 336,264.48
  4. Step 4: Simplify right side
    597,869.91x = 277,424,591,750.41
  5. Step 5: Solve for x
    x = 277,424,591,750.41/597,869.91
  6. Step 6: Final answer
    x = 464,021.67

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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.