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Finding the Fourth Proportional to 474,512.14, 711,768.22 and 208,274.96

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Solution

The fourth proportional to 474,512.14, 711,768.22 and 208,274.96 is: 312,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,512.14 : 711,768.22 = 208,274.96 : x
  2. Step 2: Convert to fraction form
    474,512.14/711,768.22 = 208,274.96/x
  3. Step 3: Cross multiply
    474,512.14x = 711,768.22 × 208,274.96
  4. Step 4: Simplify right side
    474,512.14x = 148,243,498,808.50
  5. Step 5: Solve for x
    x = 148,243,498,808.50/474,512.14
  6. Step 6: Final answer
    x = 312,412.45

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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.