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Finding the Fourth Proportional to 413,934.12, 571,212.90 and 232,653.96

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Solution

The fourth proportional to 413,934.12, 571,212.90 and 232,653.96 is: 321,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,934.12 : 571,212.90 = 232,653.96 : x
  2. Step 2: Convert to fraction form
    413,934.12/571,212.90 = 232,653.96/x
  3. Step 3: Cross multiply
    413,934.12x = 571,212.90 × 232,653.96
  4. Step 4: Simplify right side
    413,934.12x = 132,894,943,188.08
  5. Step 5: Solve for x
    x = 132,894,943,188.08/413,934.12
  6. Step 6: Final answer
    x = 321,053.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.