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Finding the Fourth Proportional to 368,488.26, 508,575.69 and 213,416.82

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Solution

The fourth proportional to 368,488.26, 508,575.69 and 213,416.82 is: 294,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,488.26 : 508,575.69 = 213,416.82 : x
  2. Step 2: Convert to fraction form
    368,488.26/508,575.69 = 213,416.82/x
  3. Step 3: Cross multiply
    368,488.26x = 508,575.69 × 213,416.82
  4. Step 4: Simplify right side
    368,488.26x = 108,538,606,489.11
  5. Step 5: Solve for x
    x = 108,538,606,489.11/368,488.26
  6. Step 6: Final answer
    x = 294,551.06

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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.