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Finding the Fourth Proportional to 716,443.50, 988,692 and 394,146.68

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Solution

The fourth proportional to 716,443.50, 988,692 and 394,146.68 is: 543,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,443.50 : 988,692 = 394,146.68 : x
  2. Step 2: Convert to fraction form
    716,443.50/988,692 = 394,146.68/x
  3. Step 3: Cross multiply
    716,443.50x = 988,692 × 394,146.68
  4. Step 4: Simplify right side
    716,443.50x = 389,689,669,342.56
  5. Step 5: Solve for x
    x = 389,689,669,342.56/716,443.50
  6. Step 6: Final answer
    x = 543,922.40

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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.