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Finding the Fourth Proportional to 597,967.84, 825,180.40 and 326,036.28

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Solution

The fourth proportional to 597,967.84, 825,180.40 and 326,036.28 is: 449,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,967.84 : 825,180.40 = 326,036.28 : x
  2. Step 2: Convert to fraction form
    597,967.84/825,180.40 = 326,036.28/x
  3. Step 3: Cross multiply
    597,967.84x = 825,180.40 × 326,036.28
  4. Step 4: Simplify right side
    597,967.84x = 269,038,747,944.91
  5. Step 5: Solve for x
    x = 269,038,747,944.91/597,967.84
  6. Step 6: Final answer
    x = 449,921.77

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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.