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Finding the Fourth Proportional to 696,425.82, 960,995.26 and 409,928.82

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Solution

The fourth proportional to 696,425.82, 960,995.26 and 409,928.82 is: 565,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,425.82 : 960,995.26 = 409,928.82 : x
  2. Step 2: Convert to fraction form
    696,425.82/960,995.26 = 409,928.82/x
  3. Step 3: Cross multiply
    696,425.82x = 960,995.26 × 409,928.82
  4. Step 4: Simplify right side
    696,425.82x = 393,939,652,957.39
  5. Step 5: Solve for x
    x = 393,939,652,957.39/696,425.82
  6. Step 6: Final answer
    x = 565,659.17

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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.