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Finding the Fourth Proportional to 436,572, 654,858.15 and 196,405.35

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Solution

The fourth proportional to 436,572, 654,858.15 and 196,405.35 is: 294,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,572 : 654,858.15 = 196,405.35 : x
  2. Step 2: Convert to fraction form
    436,572/654,858.15 = 196,405.35/x
  3. Step 3: Cross multiply
    436,572x = 654,858.15 × 196,405.35
  4. Step 4: Simplify right side
    436,572x = 128,617,644,151.10
  5. Step 5: Solve for x
    x = 128,617,644,151.10/436,572
  6. Step 6: Final answer
    x = 294,608.09

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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.