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Finding the Fourth Proportional to 553,910.96, 764,396.16 and 299,261.36

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Solution

The fourth proportional to 553,910.96, 764,396.16 and 299,261.36 is: 412,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,910.96 : 764,396.16 = 299,261.36 : x
  2. Step 2: Convert to fraction form
    553,910.96/764,396.16 = 299,261.36/x
  3. Step 3: Cross multiply
    553,910.96x = 764,396.16 × 299,261.36
  4. Step 4: Simplify right side
    553,910.96x = 228,754,234,420.38
  5. Step 5: Solve for x
    x = 228,754,234,420.38/553,910.96
  6. Step 6: Final answer
    x = 412,980.16

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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.