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Finding the Fourth Proportional to 828,663.84, 1,242,102.60 and 401,294.88

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Solution

The fourth proportional to 828,663.84, 1,242,102.60 and 401,294.88 is: 601,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,663.84 : 1,242,102.60 = 401,294.88 : x
  2. Step 2: Convert to fraction form
    828,663.84/1,242,102.60 = 401,294.88/x
  3. Step 3: Cross multiply
    828,663.84x = 1,242,102.60 × 401,294.88
  4. Step 4: Simplify right side
    828,663.84x = 498,449,413,814.69
  5. Step 5: Solve for x
    x = 498,449,413,814.69/828,663.84
  6. Step 6: Final answer
    x = 601,509.79

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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.