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Finding the Fourth Proportional to 349,710.40, 524,824.80 and 231,342.40

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Solution

The fourth proportional to 349,710.40, 524,824.80 and 231,342.40 is: 347,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,710.40 : 524,824.80 = 231,342.40 : x
  2. Step 2: Convert to fraction form
    349,710.40/524,824.80 = 231,342.40/x
  3. Step 3: Cross multiply
    349,710.40x = 524,824.80 × 231,342.40
  4. Step 4: Simplify right side
    349,710.40x = 121,414,228,811.52
  5. Step 5: Solve for x
    x = 121,414,228,811.52/349,710.40
  6. Step 6: Final answer
    x = 347,185.07

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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.