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Finding the Fourth Proportional to 516,527.41, 712,804.03 and 290,172.91

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Solution

The fourth proportional to 516,527.41, 712,804.03 and 290,172.91 is: 400,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,527.41 : 712,804.03 = 290,172.91 : x
  2. Step 2: Convert to fraction form
    516,527.41/712,804.03 = 290,172.91/x
  3. Step 3: Cross multiply
    516,527.41x = 712,804.03 × 290,172.91
  4. Step 4: Simplify right side
    516,527.41x = 206,836,419,644.83
  5. Step 5: Solve for x
    x = 206,836,419,644.83/516,527.41
  6. Step 6: Final answer
    x = 400,436.48

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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.