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Finding the Fourth Proportional to 196,564.38, 294,846.56 and 56,323

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Solution

The fourth proportional to 196,564.38, 294,846.56 and 56,323 is: 84,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,564.38 : 294,846.56 = 56,323 : x
  2. Step 2: Convert to fraction form
    196,564.38/294,846.56 = 56,323/x
  3. Step 3: Cross multiply
    196,564.38x = 294,846.56 × 56,323
  4. Step 4: Simplify right side
    196,564.38x = 16,606,642,798.88
  5. Step 5: Solve for x
    x = 16,606,642,798.88/196,564.38
  6. Step 6: Final answer
    x = 84,484.50

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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.