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Finding the Fourth Proportional to 565,205.80, 847,808.70 and 489,098.20

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Solution

The fourth proportional to 565,205.80, 847,808.70 and 489,098.20 is: 733,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,205.80 : 847,808.70 = 489,098.20 : x
  2. Step 2: Convert to fraction form
    565,205.80/847,808.70 = 489,098.20/x
  3. Step 3: Cross multiply
    565,205.80x = 847,808.70 × 489,098.20
  4. Step 4: Simplify right side
    565,205.80x = 414,661,709,114.34
  5. Step 5: Solve for x
    x = 414,661,709,114.34/565,205.80
  6. Step 6: Final answer
    x = 733,647.30

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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.