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Finding the Fourth Proportional to 820,108.20, 1,230,356.70 and 420,810.60

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Solution

The fourth proportional to 820,108.20, 1,230,356.70 and 420,810.60 is: 631,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,108.20 : 1,230,356.70 = 420,810.60 : x
  2. Step 2: Convert to fraction form
    820,108.20/1,230,356.70 = 420,810.60/x
  3. Step 3: Cross multiply
    820,108.20x = 1,230,356.70 × 420,810.60
  4. Step 4: Simplify right side
    820,108.20x = 517,747,141,141.02
  5. Step 5: Solve for x
    x = 517,747,141,141.02/820,108.20
  6. Step 6: Final answer
    x = 631,315.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.