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Finding the Fourth Proportional to 696,584.82, 961,392.14 and 424,810.38

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Solution

The fourth proportional to 696,584.82, 961,392.14 and 424,810.38 is: 586,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,584.82 : 961,392.14 = 424,810.38 : x
  2. Step 2: Convert to fraction form
    696,584.82/961,392.14 = 424,810.38/x
  3. Step 3: Cross multiply
    696,584.82x = 961,392.14 × 424,810.38
  4. Step 4: Simplify right side
    696,584.82x = 408,409,358,198.36
  5. Step 5: Solve for x
    x = 408,409,358,198.36/696,584.82
  6. Step 6: Final answer
    x = 586,302.41

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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.