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Finding the Fourth Proportional to 436,047.34, 654,165.32 and 132,416.55

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Solution

The fourth proportional to 436,047.34, 654,165.32 and 132,416.55 is: 198,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,047.34 : 654,165.32 = 132,416.55 : x
  2. Step 2: Convert to fraction form
    436,047.34/654,165.32 = 132,416.55/x
  3. Step 3: Cross multiply
    436,047.34x = 654,165.32 × 132,416.55
  4. Step 4: Simplify right side
    436,047.34x = 86,622,314,804.05
  5. Step 5: Solve for x
    x = 86,622,314,804.05/436,047.34
  6. Step 6: Final answer
    x = 198,653.46

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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.