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Finding the Fourth Proportional to 297,955.13, 411,178.07 and 163,819.13

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Solution

The fourth proportional to 297,955.13, 411,178.07 and 163,819.13 is: 226,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,955.13 : 411,178.07 = 163,819.13 : x
  2. Step 2: Convert to fraction form
    297,955.13/411,178.07 = 163,819.13/x
  3. Step 3: Cross multiply
    297,955.13x = 411,178.07 × 163,819.13
  4. Step 4: Simplify right side
    297,955.13x = 67,358,832,056.14
  5. Step 5: Solve for x
    x = 67,358,832,056.14/297,955.13
  6. Step 6: Final answer
    x = 226,070.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.