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Finding the Fourth Proportional to 486,096.70, 729,145.05 and 409,114.30

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Solution

The fourth proportional to 486,096.70, 729,145.05 and 409,114.30 is: 613,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,096.70 : 729,145.05 = 409,114.30 : x
  2. Step 2: Convert to fraction form
    486,096.70/729,145.05 = 409,114.30/x
  3. Step 3: Cross multiply
    486,096.70x = 729,145.05 × 409,114.30
  4. Step 4: Simplify right side
    486,096.70x = 298,303,666,729.22
  5. Step 5: Solve for x
    x = 298,303,666,729.22/486,096.70
  6. Step 6: Final answer
    x = 613,671.45

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Similar ratio
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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.