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Finding the Fourth Proportional to 411,357.68, 617,113.77 and 186,733.89

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Solution

The fourth proportional to 411,357.68, 617,113.77 and 186,733.89 is: 280,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,357.68 : 617,113.77 = 186,733.89 : x
  2. Step 2: Convert to fraction form
    411,357.68/617,113.77 = 186,733.89/x
  3. Step 3: Cross multiply
    411,357.68x = 617,113.77 × 186,733.89
  4. Step 4: Simplify right side
    411,357.68x = 115,236,054,844.67
  5. Step 5: Solve for x
    x = 115,236,054,844.67/411,357.68
  6. Step 6: Final answer
    x = 280,135.90

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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.