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Finding the Fourth Proportional to 595,988, 822,463.45 and 327,716

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Solution

The fourth proportional to 595,988, 822,463.45 and 327,716 is: 452,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,988 : 822,463.45 = 327,716 : x
  2. Step 2: Convert to fraction form
    595,988/822,463.45 = 327,716/x
  3. Step 3: Cross multiply
    595,988x = 822,463.45 × 327,716
  4. Step 4: Simplify right side
    595,988x = 269,534,431,980.20
  5. Step 5: Solve for x
    x = 269,534,431,980.20/595,988
  6. Step 6: Final answer
    x = 452,248.09

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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.