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Finding the Fourth Proportional to 356,910.21, 492,646.36 and 229,585.82

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Solution

The fourth proportional to 356,910.21, 492,646.36 and 229,585.82 is: 316,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,910.21 : 492,646.36 = 229,585.82 : x
  2. Step 2: Convert to fraction form
    356,910.21/492,646.36 = 229,585.82/x
  3. Step 3: Cross multiply
    356,910.21x = 492,646.36 × 229,585.82
  4. Step 4: Simplify right side
    356,910.21x = 113,104,616,067.38
  5. Step 5: Solve for x
    x = 113,104,616,067.38/356,910.21
  6. Step 6: Final answer
    x = 316,899.36

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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.