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Finding the Fourth Proportional to 333,811.52, 498,289.05 and 309,142.16

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Solution

The fourth proportional to 333,811.52, 498,289.05 and 309,142.16 is: 461,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,811.52 : 498,289.05 = 309,142.16 : x
  2. Step 2: Convert to fraction form
    333,811.52/498,289.05 = 309,142.16/x
  3. Step 3: Cross multiply
    333,811.52x = 498,289.05 × 309,142.16
  4. Step 4: Simplify right side
    333,811.52x = 154,042,150,729.90
  5. Step 5: Solve for x
    x = 154,042,150,729.90/333,811.52
  6. Step 6: Final answer
    x = 461,464.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.