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Finding the Fourth Proportional to 804,468.80, 1,206,703.20 and 489,022.40

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Solution

The fourth proportional to 804,468.80, 1,206,703.20 and 489,022.40 is: 733,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,468.80 : 1,206,703.20 = 489,022.40 : x
  2. Step 2: Convert to fraction form
    804,468.80/1,206,703.20 = 489,022.40/x
  3. Step 3: Cross multiply
    804,468.80x = 1,206,703.20 × 489,022.40
  4. Step 4: Simplify right side
    804,468.80x = 590,104,894,951.68
  5. Step 5: Solve for x
    x = 590,104,894,951.68/804,468.80
  6. Step 6: Final answer
    x = 733,533.60

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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.