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Finding the Fourth Proportional to 540,856.50, 809,623.98 and 340,237.55

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Solution

The fourth proportional to 540,856.50, 809,623.98 and 340,237.55 is: 509,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,856.50 : 809,623.98 = 340,237.55 : x
  2. Step 2: Convert to fraction form
    540,856.50/809,623.98 = 340,237.55/x
  3. Step 3: Cross multiply
    540,856.50x = 809,623.98 × 340,237.55
  4. Step 4: Simplify right side
    540,856.50x = 275,464,475,328.33
  5. Step 5: Solve for x
    x = 275,464,475,328.33/540,856.50
  6. Step 6: Final answer
    x = 509,311.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.