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Finding the Fourth Proportional to 304,446.74, 456,171.43 and 162,140.93

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Solution

The fourth proportional to 304,446.74, 456,171.43 and 162,140.93 is: 242,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,446.74 : 456,171.43 = 162,140.93 : x
  2. Step 2: Convert to fraction form
    304,446.74/456,171.43 = 162,140.93/x
  3. Step 3: Cross multiply
    304,446.74x = 456,171.43 × 162,140.93
  4. Step 4: Simplify right side
    304,446.74x = 73,964,059,899.63
  5. Step 5: Solve for x
    x = 73,964,059,899.63/304,446.74
  6. Step 6: Final answer
    x = 242,945.81

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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.