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Finding the Fourth Proportional to 486,137.60, 729,206.40 and 441,814.40

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Solution

The fourth proportional to 486,137.60, 729,206.40 and 441,814.40 is: 662,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,137.60 : 729,206.40 = 441,814.40 : x
  2. Step 2: Convert to fraction form
    486,137.60/729,206.40 = 441,814.40/x
  3. Step 3: Cross multiply
    486,137.60x = 729,206.40 × 441,814.40
  4. Step 4: Simplify right side
    486,137.60x = 322,173,888,092.16
  5. Step 5: Solve for x
    x = 322,173,888,092.16/486,137.60
  6. Step 6: Final answer
    x = 662,721.60

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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.