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Finding the Fourth Proportional to 392,830.97, 588,083.90 and 242,588.25

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Solution

The fourth proportional to 392,830.97, 588,083.90 and 242,588.25 is: 363,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,830.97 : 588,083.90 = 242,588.25 : x
  2. Step 2: Convert to fraction form
    392,830.97/588,083.90 = 242,588.25/x
  3. Step 3: Cross multiply
    392,830.97x = 588,083.90 × 242,588.25
  4. Step 4: Simplify right side
    392,830.97x = 142,662,242,941.23
  5. Step 5: Solve for x
    x = 142,662,242,941.23/392,830.97
  6. Step 6: Final answer
    x = 363,164.45

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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.