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Finding the Fourth Proportional to 375,412.44, 518,069.14 and 205,646.52

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Solution

The fourth proportional to 375,412.44, 518,069.14 and 205,646.52 is: 283,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,412.44 : 518,069.14 = 205,646.52 : x
  2. Step 2: Convert to fraction form
    375,412.44/518,069.14 = 205,646.52/x
  3. Step 3: Cross multiply
    375,412.44x = 518,069.14 × 205,646.52
  4. Step 4: Simplify right side
    375,412.44x = 106,539,115,760.39
  5. Step 5: Solve for x
    x = 106,539,115,760.39/375,412.44
  6. Step 6: Final answer
    x = 283,792.18

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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.