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Finding the Fourth Proportional to 553,778.31, 764,214.38 and 299,129.50

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Solution

The fourth proportional to 553,778.31, 764,214.38 and 299,129.50 is: 412,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,778.31 : 764,214.38 = 299,129.50 : x
  2. Step 2: Convert to fraction form
    553,778.31/764,214.38 = 299,129.50/x
  3. Step 3: Cross multiply
    553,778.31x = 764,214.38 × 299,129.50
  4. Step 4: Simplify right side
    553,778.31x = 228,599,065,382.21
  5. Step 5: Solve for x
    x = 228,599,065,382.21/553,778.31
  6. Step 6: Final answer
    x = 412,798.88

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Why These Related Problems?

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