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Finding the Fourth Proportional to 420,592.86, 580,417.59 and 269,689.50

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Solution

The fourth proportional to 420,592.86, 580,417.59 and 269,689.50 is: 372,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,592.86 : 580,417.59 = 269,689.50 : x
  2. Step 2: Convert to fraction form
    420,592.86/580,417.59 = 269,689.50/x
  3. Step 3: Cross multiply
    420,592.86x = 580,417.59 × 269,689.50
  4. Step 4: Simplify right side
    420,592.86x = 156,532,529,638.31
  5. Step 5: Solve for x
    x = 156,532,529,638.31/420,592.86
  6. Step 6: Final answer
    x = 372,171.15

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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.