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Finding the Fourth Proportional to 617,084.25, 851,655.12 and 345,167.25

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Solution

The fourth proportional to 617,084.25, 851,655.12 and 345,167.25 is: 476,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,084.25 : 851,655.12 = 345,167.25 : x
  2. Step 2: Convert to fraction form
    617,084.25/851,655.12 = 345,167.25/x
  3. Step 3: Cross multiply
    617,084.25x = 851,655.12 × 345,167.25
  4. Step 4: Simplify right side
    617,084.25x = 293,963,455,718.82
  5. Step 5: Solve for x
    x = 293,963,455,718.82/617,084.25
  6. Step 6: Final answer
    x = 476,374.91

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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.