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Finding the Fourth Proportional to 375,132.16, 517,682.36 and 205,366.28

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Solution

The fourth proportional to 375,132.16, 517,682.36 and 205,366.28 is: 283,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,132.16 : 517,682.36 = 205,366.28 : x
  2. Step 2: Convert to fraction form
    375,132.16/517,682.36 = 205,366.28/x
  3. Step 3: Cross multiply
    375,132.16x = 517,682.36 × 205,366.28
  4. Step 4: Simplify right side
    375,132.16x = 106,314,500,494.82
  5. Step 5: Solve for x
    x = 106,314,500,494.82/375,132.16
  6. Step 6: Final answer
    x = 283,405.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.