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Finding the Fourth Proportional to 420,848.57, 580,770.99 and 229,862.39

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Solution

The fourth proportional to 420,848.57, 580,770.99 and 229,862.39 is: 317,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,848.57 : 580,770.99 = 229,862.39 : x
  2. Step 2: Convert to fraction form
    420,848.57/580,770.99 = 229,862.39/x
  3. Step 3: Cross multiply
    420,848.57x = 580,770.99 × 229,862.39
  4. Step 4: Simplify right side
    420,848.57x = 133,497,404,900.21
  5. Step 5: Solve for x
    x = 133,497,404,900.21/420,848.57
  6. Step 6: Final answer
    x = 317,210.08

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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.