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Finding the Fourth Proportional to 431,709.40, 647,564.10 and 361,725.40

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Solution

The fourth proportional to 431,709.40, 647,564.10 and 361,725.40 is: 542,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,709.40 : 647,564.10 = 361,725.40 : x
  2. Step 2: Convert to fraction form
    431,709.40/647,564.10 = 361,725.40/x
  3. Step 3: Cross multiply
    431,709.40x = 647,564.10 × 361,725.40
  4. Step 4: Simplify right side
    431,709.40x = 234,240,383,098.14
  5. Step 5: Solve for x
    x = 234,240,383,098.14/431,709.40
  6. Step 6: Final answer
    x = 542,588.10

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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.