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Finding the Fourth Proportional to 516,174.27, 711,824.81 and 334,820.03

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Solution

The fourth proportional to 516,174.27, 711,824.81 and 334,820.03 is: 461,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,174.27 : 711,824.81 = 334,820.03 : x
  2. Step 2: Convert to fraction form
    516,174.27/711,824.81 = 334,820.03/x
  3. Step 3: Cross multiply
    516,174.27x = 711,824.81 × 334,820.03
  4. Step 4: Simplify right side
    516,174.27x = 238,333,204,238.94
  5. Step 5: Solve for x
    x = 238,333,204,238.94/516,174.27
  6. Step 6: Final answer
    x = 461,730.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.