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Finding the Fourth Proportional to 696,160.74, 960,679.17 and 409,696.50

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Solution

The fourth proportional to 696,160.74, 960,679.17 and 409,696.50 is: 565,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,160.74 : 960,679.17 = 409,696.50 : x
  2. Step 2: Convert to fraction form
    696,160.74/960,679.17 = 409,696.50/x
  3. Step 3: Cross multiply
    696,160.74x = 960,679.17 × 409,696.50
  4. Step 4: Simplify right side
    696,160.74x = 393,586,893,571.91
  5. Step 5: Solve for x
    x = 393,586,893,571.91/696,160.74
  6. Step 6: Final answer
    x = 565,367.84

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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.