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Finding the Fourth Proportional to 486,419.20, 729,628.80 and 476,051.20

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Solution

The fourth proportional to 486,419.20, 729,628.80 and 476,051.20 is: 714,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,419.20 : 729,628.80 = 476,051.20 : x
  2. Step 2: Convert to fraction form
    486,419.20/729,628.80 = 476,051.20/x
  3. Step 3: Cross multiply
    486,419.20x = 729,628.80 × 476,051.20
  4. Step 4: Simplify right side
    486,419.20x = 347,340,665,794.56
  5. Step 5: Solve for x
    x = 347,340,665,794.56/486,419.20
  6. Step 6: Final answer
    x = 714,076.80

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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.