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Finding the Fourth Proportional to 760,497.24, 1,049,486.21 and 420,965.49

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Solution

The fourth proportional to 760,497.24, 1,049,486.21 and 420,965.49 is: 580,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,497.24 : 1,049,486.21 = 420,965.49 : x
  2. Step 2: Convert to fraction form
    760,497.24/1,049,486.21 = 420,965.49/x
  3. Step 3: Cross multiply
    760,497.24x = 1,049,486.21 × 420,965.49
  4. Step 4: Simplify right side
    760,497.24x = 441,797,469,288.63
  5. Step 5: Solve for x
    x = 441,797,469,288.63/760,497.24
  6. Step 6: Final answer
    x = 580,932.38

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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.