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Finding the Fourth Proportional to 468,046.98, 645,907.98 and 286,759.26

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Solution

The fourth proportional to 468,046.98, 645,907.98 and 286,759.26 is: 395,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,046.98 : 645,907.98 = 286,759.26 : x
  2. Step 2: Convert to fraction form
    468,046.98/645,907.98 = 286,759.26/x
  3. Step 3: Cross multiply
    468,046.98x = 645,907.98 × 286,759.26
  4. Step 4: Simplify right side
    468,046.98x = 185,220,094,372.90
  5. Step 5: Solve for x
    x = 185,220,094,372.90/468,046.98
  6. Step 6: Final answer
    x = 395,729.71

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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.