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Finding the Fourth Proportional to 403,735.94, 605,032.64 and 223,900.47

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Solution

The fourth proportional to 403,735.94, 605,032.64 and 223,900.47 is: 335,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,735.94 : 605,032.64 = 223,900.47 : x
  2. Step 2: Convert to fraction form
    403,735.94/605,032.64 = 223,900.47/x
  3. Step 3: Cross multiply
    403,735.94x = 605,032.64 × 223,900.47
  4. Step 4: Simplify right side
    403,735.94x = 135,467,091,341.84
  5. Step 5: Solve for x
    x = 135,467,091,341.84/403,735.94
  6. Step 6: Final answer
    x = 335,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.