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Finding the Fourth Proportional to 375,055.82, 517,474.68 and 213,852.08

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Solution

The fourth proportional to 375,055.82, 517,474.68 and 213,852.08 is: 295,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.82 : 517,474.68 = 213,852.08 : x
  2. Step 2: Convert to fraction form
    375,055.82/517,474.68 = 213,852.08/x
  3. Step 3: Cross multiply
    375,055.82x = 517,474.68 × 213,852.08
  4. Step 4: Simplify right side
    375,055.82x = 110,663,036,665.33
  5. Step 5: Solve for x
    x = 110,663,036,665.33/375,055.82
  6. Step 6: Final answer
    x = 295,057.51

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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.