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Finding the Fourth Proportional to 295,381.20, 442,415.70 and 242,893.20

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Solution

The fourth proportional to 295,381.20, 442,415.70 and 242,893.20 is: 363,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,381.20 : 442,415.70 = 242,893.20 : x
  2. Step 2: Convert to fraction form
    295,381.20/442,415.70 = 242,893.20/x
  3. Step 3: Cross multiply
    295,381.20x = 442,415.70 × 242,893.20
  4. Step 4: Simplify right side
    295,381.20x = 107,459,765,103.24
  5. Step 5: Solve for x
    x = 107,459,765,103.24/295,381.20
  6. Step 6: Final answer
    x = 363,800.29

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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.