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Finding the Fourth Proportional to 378,401.67, 521,898.93 and 242,448.30

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Solution

The fourth proportional to 378,401.67, 521,898.93 and 242,448.30 is: 334,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.67 : 521,898.93 = 242,448.30 : x
  2. Step 2: Convert to fraction form
    378,401.67/521,898.93 = 242,448.30/x
  3. Step 3: Cross multiply
    378,401.67x = 521,898.93 × 242,448.30
  4. Step 4: Simplify right side
    378,401.67x = 126,533,508,350.32
  5. Step 5: Solve for x
    x = 126,533,508,350.32/378,401.67
  6. Step 6: Final answer
    x = 334,389.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.