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Finding the Fourth Proportional to 304,886, 457,609.74 and 155,233.28

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Solution

The fourth proportional to 304,886, 457,609.74 and 155,233.28 is: 232,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,886 : 457,609.74 = 155,233.28 : x
  2. Step 2: Convert to fraction form
    304,886/457,609.74 = 155,233.28/x
  3. Step 3: Cross multiply
    304,886x = 457,609.74 × 155,233.28
  4. Step 4: Simplify right side
    304,886x = 71,036,260,900.15
  5. Step 5: Solve for x
    x = 71,036,260,900.15/304,886
  6. Step 6: Final answer
    x = 232,992.86

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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.