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Finding the Fourth Proportional to 436,564.53, 654,846.95 and 196,397.91

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Solution

The fourth proportional to 436,564.53, 654,846.95 and 196,397.91 is: 294,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,564.53 : 654,846.95 = 196,397.91 : x
  2. Step 2: Convert to fraction form
    436,564.53/654,846.95 = 196,397.91/x
  3. Step 3: Cross multiply
    436,564.53x = 654,846.95 × 196,397.91
  4. Step 4: Simplify right side
    436,564.53x = 128,610,572,840.87
  5. Step 5: Solve for x
    x = 128,610,572,840.87/436,564.53
  6. Step 6: Final answer
    x = 294,596.94

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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.