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Finding the Fourth Proportional to 375,509.25, 518,202.77 and 205,747.29

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Solution

The fourth proportional to 375,509.25, 518,202.77 and 205,747.29 is: 283,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,509.25 : 518,202.77 = 205,747.29 : x
  2. Step 2: Convert to fraction form
    375,509.25/518,202.77 = 205,747.29/x
  3. Step 3: Cross multiply
    375,509.25x = 518,202.77 × 205,747.29
  4. Step 4: Simplify right side
    375,509.25x = 106,618,814,569.26
  5. Step 5: Solve for x
    x = 106,618,814,569.26/375,509.25
  6. Step 6: Final answer
    x = 283,931.26

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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.