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Finding the Fourth Proportional to 196,578.28, 294,828.54 and 56,351.08

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Solution

The fourth proportional to 196,578.28, 294,828.54 and 56,351.08 is: 84,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,578.28 : 294,828.54 = 56,351.08 : x
  2. Step 2: Convert to fraction form
    196,578.28/294,828.54 = 56,351.08/x
  3. Step 3: Cross multiply
    196,578.28x = 294,828.54 × 56,351.08
  4. Step 4: Simplify right side
    196,578.28x = 16,613,906,643.82
  5. Step 5: Solve for x
    x = 16,613,906,643.82/196,578.28
  6. Step 6: Final answer
    x = 84,515.47

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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.