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Finding the Fourth Proportional to 375,341.16, 517,959.66 and 205,571.64

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Solution

The fourth proportional to 375,341.16, 517,959.66 and 205,571.64 is: 283,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,341.16 : 517,959.66 = 205,571.64 : x
  2. Step 2: Convert to fraction form
    375,341.16/517,959.66 = 205,571.64/x
  3. Step 3: Cross multiply
    375,341.16x = 517,959.66 × 205,571.64
  4. Step 4: Simplify right side
    375,341.16x = 106,477,816,760.04
  5. Step 5: Solve for x
    x = 106,477,816,760.04/375,341.16
  6. Step 6: Final answer
    x = 283,682.76

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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.