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Finding the Fourth Proportional to 553,670.96, 764,065.64 and 299,022.16

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Solution

The fourth proportional to 553,670.96, 764,065.64 and 299,022.16 is: 412,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,670.96 : 764,065.64 = 299,022.16 : x
  2. Step 2: Convert to fraction form
    553,670.96/764,065.64 = 299,022.16/x
  3. Step 3: Cross multiply
    553,670.96x = 764,065.64 × 299,022.16
  4. Step 4: Simplify right side
    553,670.96x = 228,472,558,054.58
  5. Step 5: Solve for x
    x = 228,472,558,054.58/553,670.96
  6. Step 6: Final answer
    x = 412,650.43

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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.