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Finding the Fourth Proportional to 476,107.10, 713,330.17 and 396,655.41

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Solution

The fourth proportional to 476,107.10, 713,330.17 and 396,655.41 is: 594,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,107.10 : 713,330.17 = 396,655.41 : x
  2. Step 2: Convert to fraction form
    476,107.10/713,330.17 = 396,655.41/x
  3. Step 3: Cross multiply
    476,107.10x = 713,330.17 × 396,655.41
  4. Step 4: Simplify right side
    476,107.10x = 282,946,273,845.66
  5. Step 5: Solve for x
    x = 282,946,273,845.66/476,107.10
  6. Step 6: Final answer
    x = 594,291.23

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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.