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Finding the Fourth Proportional to 595,320, 821,541.92 and 327,065.28

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Solution

The fourth proportional to 595,320, 821,541.92 and 327,065.28 is: 451,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,320 : 821,541.92 = 327,065.28 : x
  2. Step 2: Convert to fraction form
    595,320/821,541.92 = 327,065.28/x
  3. Step 3: Cross multiply
    595,320x = 821,541.92 × 327,065.28
  4. Step 4: Simplify right side
    595,320x = 268,697,838,096.54
  5. Step 5: Solve for x
    x = 268,697,838,096.54/595,320
  6. Step 6: Final answer
    x = 451,350.26

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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.