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Finding the Fourth Proportional to 513,193.50, 769,598.76 and 176,138.49

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Solution

The fourth proportional to 513,193.50, 769,598.76 and 176,138.49 is: 264,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,193.50 : 769,598.76 = 176,138.49 : x
  2. Step 2: Convert to fraction form
    513,193.50/769,598.76 = 176,138.49/x
  3. Step 3: Cross multiply
    513,193.50x = 769,598.76 × 176,138.49
  4. Step 4: Simplify right side
    513,193.50x = 135,555,963,492.27
  5. Step 5: Solve for x
    x = 135,555,963,492.27/513,193.50
  6. Step 6: Final answer
    x = 264,142.01

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1.5x scale

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.