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Finding the Fourth Proportional to 820,141.20, 1,230,406.20 and 420,843.60

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Solution

The fourth proportional to 820,141.20, 1,230,406.20 and 420,843.60 is: 631,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,141.20 : 1,230,406.20 = 420,843.60 : x
  2. Step 2: Convert to fraction form
    820,141.20/1,230,406.20 = 420,843.60/x
  3. Step 3: Cross multiply
    820,141.20x = 1,230,406.20 × 420,843.60
  4. Step 4: Simplify right side
    820,141.20x = 517,808,574,670.32
  5. Step 5: Solve for x
    x = 517,808,574,670.32/820,141.20
  6. Step 6: Final answer
    x = 631,365.15

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1.5x scale

Why These Related Problems?

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