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Finding the Fourth Proportional to 553,878.80, 764,353.44 and 299,230

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Solution

The fourth proportional to 553,878.80, 764,353.44 and 299,230 is: 412,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,878.80 : 764,353.44 = 299,230 : x
  2. Step 2: Convert to fraction form
    553,878.80/764,353.44 = 299,230/x
  3. Step 3: Cross multiply
    553,878.80x = 764,353.44 × 299,230
  4. Step 4: Simplify right side
    553,878.80x = 228,717,479,851.20
  5. Step 5: Solve for x
    x = 228,717,479,851.20/553,878.80
  6. Step 6: Final answer
    x = 412,937.78

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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.