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Finding the Fourth Proportional to 375,538.56, 518,249.79 and 205,762.56

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Solution

The fourth proportional to 375,538.56, 518,249.79 and 205,762.56 is: 283,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,538.56 : 518,249.79 = 205,762.56 : x
  2. Step 2: Convert to fraction form
    375,538.56/518,249.79 = 205,762.56/x
  3. Step 3: Cross multiply
    375,538.56x = 518,249.79 × 205,762.56
  4. Step 4: Simplify right side
    375,538.56x = 106,636,403,509.86
  5. Step 5: Solve for x
    x = 106,636,403,509.86/375,538.56
  6. Step 6: Final answer
    x = 283,955.94

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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.