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Finding the Fourth Proportional to 411,752.10, 617,628.15 and 175,035.30

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Solution

The fourth proportional to 411,752.10, 617,628.15 and 175,035.30 is: 262,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,752.10 : 617,628.15 = 175,035.30 : x
  2. Step 2: Convert to fraction form
    411,752.10/617,628.15 = 175,035.30/x
  3. Step 3: Cross multiply
    411,752.10x = 617,628.15 × 175,035.30
  4. Step 4: Simplify right side
    411,752.10x = 108,106,728,523.70
  5. Step 5: Solve for x
    x = 108,106,728,523.70/411,752.10
  6. Step 6: Final answer
    x = 262,552.95

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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.