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Finding the Fourth Proportional to 304,112.58, 456,036.87 and 116,992.74

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Solution

The fourth proportional to 304,112.58, 456,036.87 and 116,992.74 is: 175,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,112.58 : 456,036.87 = 116,992.74 : x
  2. Step 2: Convert to fraction form
    304,112.58/456,036.87 = 116,992.74/x
  3. Step 3: Cross multiply
    304,112.58x = 456,036.87 × 116,992.74
  4. Step 4: Simplify right side
    304,112.58x = 53,353,002,962.32
  5. Step 5: Solve for x
    x = 53,353,002,962.32/304,112.58
  6. Step 6: Final answer
    x = 175,438.33

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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.