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Finding the Fourth Proportional to 411,335.80, 616,542.90 and 233,927.80

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Solution

The fourth proportional to 411,335.80, 616,542.90 and 233,927.80 is: 350,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,335.80 : 616,542.90 = 233,927.80 : x
  2. Step 2: Convert to fraction form
    411,335.80/616,542.90 = 233,927.80/x
  3. Step 3: Cross multiply
    411,335.80x = 616,542.90 × 233,927.80
  4. Step 4: Simplify right side
    411,335.80x = 144,226,524,202.62
  5. Step 5: Solve for x
    x = 144,226,524,202.62/411,335.80
  6. Step 6: Final answer
    x = 350,629.64

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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.