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Finding the Fourth Proportional to 304,314.60, 456,083.10 and 233,844.60

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Solution

The fourth proportional to 304,314.60, 456,083.10 and 233,844.60 is: 350,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,314.60 : 456,083.10 = 233,844.60 : x
  2. Step 2: Convert to fraction form
    304,314.60/456,083.10 = 233,844.60/x
  3. Step 3: Cross multiply
    304,314.60x = 456,083.10 × 233,844.60
  4. Step 4: Simplify right side
    304,314.60x = 106,652,570,086.26
  5. Step 5: Solve for x
    x = 106,652,570,086.26/304,314.60
  6. Step 6: Final answer
    x = 350,468.13

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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.