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Finding the Fourth Proportional to 357,175.67, 492,866.52 and 213,932.03

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Solution

The fourth proportional to 357,175.67, 492,866.52 and 213,932.03 is: 295,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,175.67 : 492,866.52 = 213,932.03 : x
  2. Step 2: Convert to fraction form
    357,175.67/492,866.52 = 213,932.03/x
  3. Step 3: Cross multiply
    357,175.67x = 492,866.52 × 213,932.03
  4. Step 4: Simplify right side
    357,175.67x = 105,439,932,678.30
  5. Step 5: Solve for x
    x = 105,439,932,678.30/357,175.67
  6. Step 6: Final answer
    x = 295,204.69

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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.