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Finding the Fourth Proportional to 361,706.10, 499,153.55 and 200,557

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Solution

The fourth proportional to 361,706.10, 499,153.55 and 200,557 is: 276,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,706.10 : 499,153.55 = 200,557 : x
  2. Step 2: Convert to fraction form
    361,706.10/499,153.55 = 200,557/x
  3. Step 3: Cross multiply
    361,706.10x = 499,153.55 × 200,557
  4. Step 4: Simplify right side
    361,706.10x = 100,108,738,527.35
  5. Step 5: Solve for x
    x = 100,108,738,527.35/361,706.10
  6. Step 6: Final answer
    x = 276,768.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.