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Finding the Fourth Proportional to 515,577.80, 773,648.58 and 200,047.16

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Solution

The fourth proportional to 515,577.80, 773,648.58 and 200,047.16 is: 300,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,577.80 : 773,648.58 = 200,047.16 : x
  2. Step 2: Convert to fraction form
    515,577.80/773,648.58 = 200,047.16/x
  3. Step 3: Cross multiply
    515,577.80x = 773,648.58 × 200,047.16
  4. Step 4: Simplify right side
    515,577.80x = 154,766,201,267.03
  5. Step 5: Solve for x
    x = 154,766,201,267.03/515,577.80
  6. Step 6: Final answer
    x = 300,180.11

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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.