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Finding the Fourth Proportional to 508,461.42, 762,393.09 and 192,940.50

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Solution

The fourth proportional to 508,461.42, 762,393.09 and 192,940.50 is: 289,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,461.42 : 762,393.09 = 192,940.50 : x
  2. Step 2: Convert to fraction form
    508,461.42/762,393.09 = 192,940.50/x
  3. Step 3: Cross multiply
    508,461.42x = 762,393.09 × 192,940.50
  4. Step 4: Simplify right side
    508,461.42x = 147,096,503,981.15
  5. Step 5: Solve for x
    x = 147,096,503,981.15/508,461.42
  6. Step 6: Final answer
    x = 289,297.28

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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.