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Finding the Fourth Proportional to 486,564.10, 729,846.15 and 459,007.90

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Solution

The fourth proportional to 486,564.10, 729,846.15 and 459,007.90 is: 688,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,564.10 : 729,846.15 = 459,007.90 : x
  2. Step 2: Convert to fraction form
    486,564.10/729,846.15 = 459,007.90/x
  3. Step 3: Cross multiply
    486,564.10x = 729,846.15 × 459,007.90
  4. Step 4: Simplify right side
    486,564.10x = 335,005,148,634.59
  5. Step 5: Solve for x
    x = 335,005,148,634.59/486,564.10
  6. Step 6: Final answer
    x = 688,511.85

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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.