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Finding the Fourth Proportional to 474,100.20, 711,252.70 and 141,709.80

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Solution

The fourth proportional to 474,100.20, 711,252.70 and 141,709.80 is: 212,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,100.20 : 711,252.70 = 141,709.80 : x
  2. Step 2: Convert to fraction form
    474,100.20/711,252.70 = 141,709.80/x
  3. Step 3: Cross multiply
    474,100.20x = 711,252.70 × 141,709.80
  4. Step 4: Simplify right side
    474,100.20x = 100,791,477,866.46
  5. Step 5: Solve for x
    x = 100,791,477,866.46/474,100.20
  6. Step 6: Final answer
    x = 212,595.31

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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.