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Finding the Fourth Proportional to 595,728.72, 822,111.12 and 323,797.23

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Solution

The fourth proportional to 595,728.72, 822,111.12 and 323,797.23 is: 446,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,728.72 : 822,111.12 = 323,797.23 : x
  2. Step 2: Convert to fraction form
    595,728.72/822,111.12 = 323,797.23/x
  3. Step 3: Cross multiply
    595,728.72x = 822,111.12 × 323,797.23
  4. Step 4: Simplify right side
    595,728.72x = 266,197,303,408.20
  5. Step 5: Solve for x
    x = 266,197,303,408.20/595,728.72
  6. Step 6: Final answer
    x = 446,843.16

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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.