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Finding the Fourth Proportional to 304,052.40, 456,078.60 and 178,081.20

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Solution

The fourth proportional to 304,052.40, 456,078.60 and 178,081.20 is: 267,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,052.40 : 456,078.60 = 178,081.20 : x
  2. Step 2: Convert to fraction form
    304,052.40/456,078.60 = 178,081.20/x
  3. Step 3: Cross multiply
    304,052.40x = 456,078.60 × 178,081.20
  4. Step 4: Simplify right side
    304,052.40x = 81,219,024,382.32
  5. Step 5: Solve for x
    x = 81,219,024,382.32/304,052.40
  6. Step 6: Final answer
    x = 267,121.80

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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.