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Finding the Fourth Proportional to 474,047.13, 711,063.56 and 154,213.57

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Solution

The fourth proportional to 474,047.13, 711,063.56 and 154,213.57 is: 231,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,047.13 : 711,063.56 = 154,213.57 : x
  2. Step 2: Convert to fraction form
    474,047.13/711,063.56 = 154,213.57/x
  3. Step 3: Cross multiply
    474,047.13x = 711,063.56 × 154,213.57
  4. Step 4: Simplify right side
    474,047.13x = 109,655,651,358.87
  5. Step 5: Solve for x
    x = 109,655,651,358.87/474,047.13
  6. Step 6: Final answer
    x = 231,318.03

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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.