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Finding the Fourth Proportional to 298,690.34, 412,226.28 and 183,946.55

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Solution

The fourth proportional to 298,690.34, 412,226.28 and 183,946.55 is: 253,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,690.34 : 412,226.28 = 183,946.55 : x
  2. Step 2: Convert to fraction form
    298,690.34/412,226.28 = 183,946.55/x
  3. Step 3: Cross multiply
    298,690.34x = 412,226.28 × 183,946.55
  4. Step 4: Simplify right side
    298,690.34x = 75,827,599,964.20
  5. Step 5: Solve for x
    x = 75,827,599,964.20/298,690.34
  6. Step 6: Final answer
    x = 253,866.94

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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.