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Finding the Fourth Proportional to 457,216.35, 685,798.14 and 137,361.36

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Solution

The fourth proportional to 457,216.35, 685,798.14 and 137,361.36 is: 206,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,216.35 : 685,798.14 = 137,361.36 : x
  2. Step 2: Convert to fraction form
    457,216.35/685,798.14 = 137,361.36/x
  3. Step 3: Cross multiply
    457,216.35x = 685,798.14 × 137,361.36
  4. Step 4: Simplify right side
    457,216.35x = 94,202,168,282.72
  5. Step 5: Solve for x
    x = 94,202,168,282.72/457,216.35
  6. Step 6: Final answer
    x = 206,034.12

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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.