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Finding the Fourth Proportional to 472,986.38, 652,735.04 and 258,140.22

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Solution

The fourth proportional to 472,986.38, 652,735.04 and 258,140.22 is: 356,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,986.38 : 652,735.04 = 258,140.22 : x
  2. Step 2: Convert to fraction form
    472,986.38/652,735.04 = 258,140.22/x
  3. Step 3: Cross multiply
    472,986.38x = 652,735.04 × 258,140.22
  4. Step 4: Simplify right side
    472,986.38x = 168,497,165,536.61
  5. Step 5: Solve for x
    x = 168,497,165,536.61/472,986.38
  6. Step 6: Final answer
    x = 356,241.06

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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.