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Finding the Fourth Proportional to 474,346.48, 710,379.46 and 271,327.27

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Solution

The fourth proportional to 474,346.48, 710,379.46 and 271,327.27 is: 406,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,346.48 : 710,379.46 = 271,327.27 : x
  2. Step 2: Convert to fraction form
    474,346.48/710,379.46 = 271,327.27/x
  3. Step 3: Cross multiply
    474,346.48x = 710,379.46 × 271,327.27
  4. Step 4: Simplify right side
    474,346.48x = 192,745,314,637.34
  5. Step 5: Solve for x
    x = 192,745,314,637.34/474,346.48
  6. Step 6: Final answer
    x = 406,338.67

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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.