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Finding the Fourth Proportional to 375,135.47, 517,736.23 and 213,953.57

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Solution

The fourth proportional to 375,135.47, 517,736.23 and 213,953.57 is: 295,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,135.47 : 517,736.23 = 213,953.57 : x
  2. Step 2: Convert to fraction form
    375,135.47/517,736.23 = 213,953.57/x
  3. Step 3: Cross multiply
    375,135.47x = 517,736.23 × 213,953.57
  4. Step 4: Simplify right side
    375,135.47x = 110,771,511,068.39
  5. Step 5: Solve for x
    x = 110,771,511,068.39/375,135.47
  6. Step 6: Final answer
    x = 295,284.03

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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.