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Finding the Fourth Proportional to 300,542.04, 414,654.12 and 173,200.32

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Solution

The fourth proportional to 300,542.04, 414,654.12 and 173,200.32 is: 238,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542.04 : 414,654.12 = 173,200.32 : x
  2. Step 2: Convert to fraction form
    300,542.04/414,654.12 = 173,200.32/x
  3. Step 3: Cross multiply
    300,542.04x = 414,654.12 × 173,200.32
  4. Step 4: Simplify right side
    300,542.04x = 71,818,226,273.32
  5. Step 5: Solve for x
    x = 71,818,226,273.32/300,542.04
  6. Step 6: Final answer
    x = 238,962.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.