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Finding the Fourth Proportional to 264,654.80, 397,097.40 and 133,326.80

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Solution

The fourth proportional to 264,654.80, 397,097.40 and 133,326.80 is: 200,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,654.80 : 397,097.40 = 133,326.80 : x
  2. Step 2: Convert to fraction form
    264,654.80/397,097.40 = 133,326.80/x
  3. Step 3: Cross multiply
    264,654.80x = 397,097.40 × 133,326.80
  4. Step 4: Simplify right side
    264,654.80x = 52,943,725,630.32
  5. Step 5: Solve for x
    x = 52,943,725,630.32/264,654.80
  6. Step 6: Final answer
    x = 200,048.24

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1.5x scale

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.