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Finding the Fourth Proportional to 514,276.12, 770,941.56 and 177,236.72

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Solution

The fourth proportional to 514,276.12, 770,941.56 and 177,236.72 is: 265,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,276.12 : 770,941.56 = 177,236.72 : x
  2. Step 2: Convert to fraction form
    514,276.12/770,941.56 = 177,236.72/x
  3. Step 3: Cross multiply
    514,276.12x = 770,941.56 × 177,236.72
  4. Step 4: Simplify right side
    514,276.12x = 136,639,153,406.08
  5. Step 5: Solve for x
    x = 136,639,153,406.08/514,276.12
  6. Step 6: Final answer
    x = 265,692.20

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Why These Related Problems?

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