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Finding the Fourth Proportional to 565,204.80, 847,807.20 and 489,097.20

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Solution

The fourth proportional to 565,204.80, 847,807.20 and 489,097.20 is: 733,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,204.80 : 847,807.20 = 489,097.20 : x
  2. Step 2: Convert to fraction form
    565,204.80/847,807.20 = 489,097.20/x
  3. Step 3: Cross multiply
    565,204.80x = 847,807.20 × 489,097.20
  4. Step 4: Simplify right side
    565,204.80x = 414,660,127,659.84
  5. Step 5: Solve for x
    x = 414,660,127,659.84/565,204.80
  6. Step 6: Final answer
    x = 733,645.80

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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.