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Finding the Fourth Proportional to 420,675.37, 580,531.68 and 229,688.75

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Solution

The fourth proportional to 420,675.37, 580,531.68 and 229,688.75 is: 316,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,675.37 : 580,531.68 = 229,688.75 : x
  2. Step 2: Convert to fraction form
    420,675.37/580,531.68 = 229,688.75/x
  3. Step 3: Cross multiply
    420,675.37x = 580,531.68 × 229,688.75
  4. Step 4: Simplify right side
    420,675.37x = 133,341,597,365.93
  5. Step 5: Solve for x
    x = 133,341,597,365.93/420,675.37
  6. Step 6: Final answer
    x = 316,970.30

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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.