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Finding the Fourth Proportional to 486,575.80, 729,863.70 and 459,019.60

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Solution

The fourth proportional to 486,575.80, 729,863.70 and 459,019.60 is: 688,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,575.80 : 729,863.70 = 459,019.60 : x
  2. Step 2: Convert to fraction form
    486,575.80/729,863.70 = 459,019.60/x
  3. Step 3: Cross multiply
    486,575.80x = 729,863.70 × 459,019.60
  4. Step 4: Simplify right side
    486,575.80x = 335,021,743,628.52
  5. Step 5: Solve for x
    x = 335,021,743,628.52/486,575.80
  6. Step 6: Final answer
    x = 688,529.40

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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.