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Finding the Fourth Proportional to 356,699.38, 492,260.67 and 213,431.98

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Solution

The fourth proportional to 356,699.38, 492,260.67 and 213,431.98 is: 294,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,699.38 : 492,260.67 = 213,431.98 : x
  2. Step 2: Convert to fraction form
    356,699.38/492,260.67 = 213,431.98/x
  3. Step 3: Cross multiply
    356,699.38x = 492,260.67 × 213,431.98
  4. Step 4: Simplify right side
    356,699.38x = 105,064,169,474.23
  5. Step 5: Solve for x
    x = 105,064,169,474.23/356,699.38
  6. Step 6: Final answer
    x = 294,545.42

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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.