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Finding the Fourth Proportional to 474,101.20, 711,254.20 and 141,710.80

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Solution

The fourth proportional to 474,101.20, 711,254.20 and 141,710.80 is: 212,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,101.20 : 711,254.20 = 141,710.80 : x
  2. Step 2: Convert to fraction form
    474,101.20/711,254.20 = 141,710.80/x
  3. Step 3: Cross multiply
    474,101.20x = 711,254.20 × 141,710.80
  4. Step 4: Simplify right side
    474,101.20x = 100,792,401,685.36
  5. Step 5: Solve for x
    x = 100,792,401,685.36/474,101.20
  6. Step 6: Final answer
    x = 212,596.81

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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.