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Finding the Fourth Proportional to 304,892.83, 457,495.37 and 145,149.49

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Solution

The fourth proportional to 304,892.83, 457,495.37 and 145,149.49 is: 217,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,892.83 : 457,495.37 = 145,149.49 : x
  2. Step 2: Convert to fraction form
    304,892.83/457,495.37 = 145,149.49/x
  3. Step 3: Cross multiply
    304,892.83x = 457,495.37 × 145,149.49
  4. Step 4: Simplify right side
    304,892.83x = 66,405,219,632.86
  5. Step 5: Solve for x
    x = 66,405,219,632.86/304,892.83
  6. Step 6: Final answer
    x = 217,798.56

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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.