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Finding the Fourth Proportional to 525,410.70, 725,067.56 and 299,056.20

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Solution

The fourth proportional to 525,410.70, 725,067.56 and 299,056.20 is: 412,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,410.70 : 725,067.56 = 299,056.20 : x
  2. Step 2: Convert to fraction form
    525,410.70/725,067.56 = 299,056.20/x
  3. Step 3: Cross multiply
    525,410.70x = 725,067.56 × 299,056.20
  4. Step 4: Simplify right side
    525,410.70x = 216,835,949,236.87
  5. Step 5: Solve for x
    x = 216,835,949,236.87/525,410.70
  6. Step 6: Final answer
    x = 412,698.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.