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Finding the Fourth Proportional to 304,141.60, 419,134.80 and 264,328.48

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Solution

The fourth proportional to 304,141.60, 419,134.80 and 264,328.48 is: 364,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,141.60 : 419,134.80 = 264,328.48 : x
  2. Step 2: Convert to fraction form
    304,141.60/419,134.80 = 264,328.48/x
  3. Step 3: Cross multiply
    304,141.60x = 419,134.80 × 264,328.48
  4. Step 4: Simplify right side
    304,141.60x = 110,789,264,599.10
  5. Step 5: Solve for x
    x = 110,789,264,599.10/304,141.60
  6. Step 6: Final answer
    x = 364,268.70

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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.