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Finding the Fourth Proportional to 302,414.72, 453,399.73 and 102,681.47

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Solution

The fourth proportional to 302,414.72, 453,399.73 and 102,681.47 is: 153,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,414.72 : 453,399.73 = 102,681.47 : x
  2. Step 2: Convert to fraction form
    302,414.72/453,399.73 = 102,681.47/x
  3. Step 3: Cross multiply
    302,414.72x = 453,399.73 × 102,681.47
  4. Step 4: Simplify right side
    302,414.72x = 46,555,751,650.80
  5. Step 5: Solve for x
    x = 46,555,751,650.80/302,414.72
  6. Step 6: Final answer
    x = 153,946.71

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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.