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Finding the Fourth Proportional to 512,126.25, 768,343.14 and 242,459.97

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Solution

The fourth proportional to 512,126.25, 768,343.14 and 242,459.97 is: 363,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,126.25 : 768,343.14 = 242,459.97 : x
  2. Step 2: Convert to fraction form
    512,126.25/768,343.14 = 242,459.97/x
  3. Step 3: Cross multiply
    512,126.25x = 768,343.14 × 242,459.97
  4. Step 4: Simplify right side
    512,126.25x = 186,292,454,674.11
  5. Step 5: Solve for x
    x = 186,292,454,674.11/512,126.25
  6. Step 6: Final answer
    x = 363,762.75

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