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Finding the Fourth Proportional to 461,180.42, 691,980.80 and 236,698.49

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Solution

The fourth proportional to 461,180.42, 691,980.80 and 236,698.49 is: 355,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,180.42 : 691,980.80 = 236,698.49 : x
  2. Step 2: Convert to fraction form
    461,180.42/691,980.80 = 236,698.49/x
  3. Step 3: Cross multiply
    461,180.42x = 691,980.80 × 236,698.49
  4. Step 4: Simplify right side
    461,180.42x = 163,790,805,825.60
  5. Step 5: Solve for x
    x = 163,790,805,825.60/461,180.42
  6. Step 6: Final answer
    x = 355,155.60

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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.