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Finding the Fourth Proportional to 565,201.80, 847,802.70 and 489,094.20

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Solution

The fourth proportional to 565,201.80, 847,802.70 and 489,094.20 is: 733,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,201.80 : 847,802.70 = 489,094.20 : x
  2. Step 2: Convert to fraction form
    565,201.80/847,802.70 = 489,094.20/x
  3. Step 3: Cross multiply
    565,201.80x = 847,802.70 × 489,094.20
  4. Step 4: Simplify right side
    565,201.80x = 414,655,383,314.34
  5. Step 5: Solve for x
    x = 414,655,383,314.34/565,201.80
  6. Step 6: Final answer
    x = 733,641.30

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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.