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Finding the Fourth Proportional to 565,216.80, 847,825.20 and 489,109.20

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Solution

The fourth proportional to 565,216.80, 847,825.20 and 489,109.20 is: 733,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,216.80 : 847,825.20 = 489,109.20 : x
  2. Step 2: Convert to fraction form
    565,216.80/847,825.20 = 489,109.20/x
  3. Step 3: Cross multiply
    565,216.80x = 847,825.20 × 489,109.20
  4. Step 4: Simplify right side
    565,216.80x = 414,679,105,311.84
  5. Step 5: Solve for x
    x = 414,679,105,311.84/565,216.80
  6. Step 6: Final answer
    x = 733,663.80

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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.