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Finding the Fourth Proportional to 365,149, 503,902.18 and 204,031.80

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Solution

The fourth proportional to 365,149, 503,902.18 and 204,031.80 is: 281,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,149 : 503,902.18 = 204,031.80 : x
  2. Step 2: Convert to fraction form
    365,149/503,902.18 = 204,031.80/x
  3. Step 3: Cross multiply
    365,149x = 503,902.18 × 204,031.80
  4. Step 4: Simplify right side
    365,149x = 102,812,068,809.32
  5. Step 5: Solve for x
    x = 102,812,068,809.32/365,149
  6. Step 6: Final answer
    x = 281,561.96

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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.