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Finding the Fourth Proportional to 553,591.24, 764,080.26 and 362,493.64

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Solution

The fourth proportional to 553,591.24, 764,080.26 and 362,493.64 is: 500,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,591.24 : 764,080.26 = 362,493.64 : x
  2. Step 2: Convert to fraction form
    553,591.24/764,080.26 = 362,493.64/x
  3. Step 3: Cross multiply
    553,591.24x = 764,080.26 × 362,493.64
  4. Step 4: Simplify right side
    553,591.24x = 276,974,234,699.55
  5. Step 5: Solve for x
    x = 276,974,234,699.55/553,591.24
  6. Step 6: Final answer
    x = 500,322.65

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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.