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Finding the Fourth Proportional to 317,204, 437,780.40 and 183,068

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Solution

The fourth proportional to 317,204, 437,780.40 and 183,068 is: 252,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,204 : 437,780.40 = 183,068 : x
  2. Step 2: Convert to fraction form
    317,204/437,780.40 = 183,068/x
  3. Step 3: Cross multiply
    317,204x = 437,780.40 × 183,068
  4. Step 4: Simplify right side
    317,204x = 80,143,582,267.20
  5. Step 5: Solve for x
    x = 80,143,582,267.20/317,204
  6. Step 6: Final answer
    x = 252,656.28

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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.