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Finding the Fourth Proportional to 412,006.40, 617,426.40 and 361,851.20

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Solution

The fourth proportional to 412,006.40, 617,426.40 and 361,851.20 is: 542,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,006.40 : 617,426.40 = 361,851.20 : x
  2. Step 2: Convert to fraction form
    412,006.40/617,426.40 = 361,851.20/x
  3. Step 3: Cross multiply
    412,006.40x = 617,426.40 × 361,851.20
  4. Step 4: Simplify right side
    412,006.40x = 223,416,483,751.68
  5. Step 5: Solve for x
    x = 223,416,483,751.68/412,006.40
  6. Step 6: Final answer
    x = 542,264.60

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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.