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Finding the Fourth Proportional to 375,300.14, 517,914.41 and 205,534.26

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Solution

The fourth proportional to 375,300.14, 517,914.41 and 205,534.26 is: 283,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,300.14 : 517,914.41 = 205,534.26 : x
  2. Step 2: Convert to fraction form
    375,300.14/517,914.41 = 205,534.26/x
  3. Step 3: Cross multiply
    375,300.14x = 517,914.41 × 205,534.26
  4. Step 4: Simplify right side
    375,300.14x = 106,449,153,975.02
  5. Step 5: Solve for x
    x = 106,449,153,975.02/375,300.14
  6. Step 6: Final answer
    x = 283,637.40

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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.