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Finding the Fourth Proportional to 411,838.83, 617,694.76 and 112,343.76

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Solution

The fourth proportional to 411,838.83, 617,694.76 and 112,343.76 is: 168,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838.83 : 617,694.76 = 112,343.76 : x
  2. Step 2: Convert to fraction form
    411,838.83/617,694.76 = 112,343.76/x
  3. Step 3: Cross multiply
    411,838.83x = 617,694.76 × 112,343.76
  4. Step 4: Simplify right side
    411,838.83x = 69,394,152,011.13
  5. Step 5: Solve for x
    x = 69,394,152,011.13/411,838.83
  6. Step 6: Final answer
    x = 168,498.32

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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.