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Finding the Fourth Proportional to 557,425.68, 769,265.67 and 315,702.94

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Solution

The fourth proportional to 557,425.68, 769,265.67 and 315,702.94 is: 435,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,425.68 : 769,265.67 = 315,702.94 : x
  2. Step 2: Convert to fraction form
    557,425.68/769,265.67 = 315,702.94/x
  3. Step 3: Cross multiply
    557,425.68x = 769,265.67 × 315,702.94
  4. Step 4: Simplify right side
    557,425.68x = 242,859,433,660.07
  5. Step 5: Solve for x
    x = 242,859,433,660.07/557,425.68
  6. Step 6: Final answer
    x = 435,680.38

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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.