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Finding the Fourth Proportional to 713,852.28, 985,116.09 and 412,046.28

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Solution

The fourth proportional to 713,852.28, 985,116.09 and 412,046.28 is: 568,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,852.28 : 985,116.09 = 412,046.28 : x
  2. Step 2: Convert to fraction form
    713,852.28/985,116.09 = 412,046.28/x
  3. Step 3: Cross multiply
    713,852.28x = 985,116.09 × 412,046.28
  4. Step 4: Simplify right side
    713,852.28x = 405,913,420,252.65
  5. Step 5: Solve for x
    x = 405,913,420,252.65/713,852.28
  6. Step 6: Final answer
    x = 568,623.83

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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.