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Finding the Fourth Proportional to 474,202.80, 711,304.20 and 208,090.80

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Solution

The fourth proportional to 474,202.80, 711,304.20 and 208,090.80 is: 312,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,202.80 : 711,304.20 = 208,090.80 : x
  2. Step 2: Convert to fraction form
    474,202.80/711,304.20 = 208,090.80/x
  3. Step 3: Cross multiply
    474,202.80x = 711,304.20 × 208,090.80
  4. Step 4: Simplify right side
    474,202.80x = 148,015,860,021.36
  5. Step 5: Solve for x
    x = 148,015,860,021.36/474,202.80
  6. Step 6: Final answer
    x = 312,136.20

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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.