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Finding the Fourth Proportional to 696,702.53, 961,880.61 and 464,456.57

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Solution

The fourth proportional to 696,702.53, 961,880.61 and 464,456.57 is: 641,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,702.53 : 961,880.61 = 464,456.57 : x
  2. Step 2: Convert to fraction form
    696,702.53/961,880.61 = 464,456.57/x
  3. Step 3: Cross multiply
    696,702.53x = 961,880.61 × 464,456.57
  4. Step 4: Simplify right side
    696,702.53x = 446,751,765,926.05
  5. Step 5: Solve for x
    x = 446,751,765,926.05/696,702.53
  6. Step 6: Final answer
    x = 641,237.47

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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.