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Finding the Fourth Proportional to 516,172.27, 711,822.05 and 334,818.03

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Solution

The fourth proportional to 516,172.27, 711,822.05 and 334,818.03 is: 461,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,172.27 : 711,822.05 = 334,818.03 : x
  2. Step 2: Convert to fraction form
    516,172.27/711,822.05 = 334,818.03/x
  3. Step 3: Cross multiply
    516,172.27x = 711,822.05 × 334,818.03
  4. Step 4: Simplify right side
    516,172.27x = 238,330,856,491.56
  5. Step 5: Solve for x
    x = 238,330,856,491.56/516,172.27
  6. Step 6: Final answer
    x = 461,727.35

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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.