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Finding the Fourth Proportional to 595,387, 821,647.02 and 327,115

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Solution

The fourth proportional to 595,387, 821,647.02 and 327,115 is: 451,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,387 : 821,647.02 = 327,115 : x
  2. Step 2: Convert to fraction form
    595,387/821,647.02 = 327,115/x
  3. Step 3: Cross multiply
    595,387x = 821,647.02 × 327,115
  4. Step 4: Simplify right side
    595,387x = 268,773,064,947.30
  5. Step 5: Solve for x
    x = 268,773,064,947.30/595,387
  6. Step 6: Final answer
    x = 451,425.82

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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.