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Finding the Fourth Proportional to 523,860.26, 785,366.57 and 163,845.88

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Solution

The fourth proportional to 523,860.26, 785,366.57 and 163,845.88 is: 245,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,860.26 : 785,366.57 = 163,845.88 : x
  2. Step 2: Convert to fraction form
    523,860.26/785,366.57 = 163,845.88/x
  3. Step 3: Cross multiply
    523,860.26x = 785,366.57 × 163,845.88
  4. Step 4: Simplify right side
    523,860.26x = 128,679,075,230.43
  5. Step 5: Solve for x
    x = 128,679,075,230.43/523,860.26
  6. Step 6: Final answer
    x = 245,636.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.