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Finding the Fourth Proportional to 375,057.82, 517,477.44 and 213,854.08

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Solution

The fourth proportional to 375,057.82, 517,477.44 and 213,854.08 is: 295,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,057.82 : 517,477.44 = 213,854.08 : x
  2. Step 2: Convert to fraction form
    375,057.82/517,477.44 = 213,854.08/x
  3. Step 3: Cross multiply
    375,057.82x = 517,477.44 × 213,854.08
  4. Step 4: Simplify right side
    375,057.82x = 110,664,661,851.96
  5. Step 5: Solve for x
    x = 110,664,661,851.96/375,057.82
  6. Step 6: Final answer
    x = 295,060.27

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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.