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Finding the Fourth Proportional to 806,493.20, 1,210,177.20 and 333,226.40

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Solution

The fourth proportional to 806,493.20, 1,210,177.20 and 333,226.40 is: 500,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,493.20 : 1,210,177.20 = 333,226.40 : x
  2. Step 2: Convert to fraction form
    806,493.20/1,210,177.20 = 333,226.40/x
  3. Step 3: Cross multiply
    806,493.20x = 1,210,177.20 × 333,226.40
  4. Step 4: Simplify right side
    806,493.20x = 403,262,991,718.08
  5. Step 5: Solve for x
    x = 403,262,991,718.08/806,493.20
  6. Step 6: Final answer
    x = 500,020.32

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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.