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Finding the Fourth Proportional to 304,461.57, 456,793.79 and 102,077.71

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Solution

The fourth proportional to 304,461.57, 456,793.79 and 102,077.71 is: 153,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,461.57 : 456,793.79 = 102,077.71 : x
  2. Step 2: Convert to fraction form
    304,461.57/456,793.79 = 102,077.71/x
  3. Step 3: Cross multiply
    304,461.57x = 456,793.79 × 102,077.71
  4. Step 4: Simplify right side
    304,461.57x = 46,628,461,231.06
  5. Step 5: Solve for x
    x = 46,628,461,231.06/304,461.57
  6. Step 6: Final answer
    x = 153,150.56

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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.