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Finding the Fourth Proportional to 553,823.64, 764,276.61 and 299,174.82

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Solution

The fourth proportional to 553,823.64, 764,276.61 and 299,174.82 is: 412,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,823.64 : 764,276.61 = 299,174.82 : x
  2. Step 2: Convert to fraction form
    553,823.64/764,276.61 = 299,174.82/x
  3. Step 3: Cross multiply
    553,823.64x = 764,276.61 × 299,174.82
  4. Step 4: Simplify right side
    553,823.64x = 228,652,317,226.96
  5. Step 5: Solve for x
    x = 228,652,317,226.96/553,823.64
  6. Step 6: Final answer
    x = 412,861.24

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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.