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Finding the Fourth Proportional to 525,410.50, 725,067.30 and 299,056

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Solution

The fourth proportional to 525,410.50, 725,067.30 and 299,056 is: 412,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,410.50 : 725,067.30 = 299,056 : x
  2. Step 2: Convert to fraction form
    525,410.50/725,067.30 = 299,056/x
  3. Step 3: Cross multiply
    525,410.50x = 725,067.30 × 299,056
  4. Step 4: Simplify right side
    525,410.50x = 216,835,726,468.80
  5. Step 5: Solve for x
    x = 216,835,726,468.80/525,410.50
  6. Step 6: Final answer
    x = 412,697.74

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