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Finding the Fourth Proportional to 298,282.88, 411,630.44 and 164,146.88

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Solution

The fourth proportional to 298,282.88, 411,630.44 and 164,146.88 is: 226,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,282.88 : 411,630.44 = 164,146.88 : x
  2. Step 2: Convert to fraction form
    298,282.88/411,630.44 = 164,146.88/x
  3. Step 3: Cross multiply
    298,282.88x = 411,630.44 × 164,146.88
  4. Step 4: Simplify right side
    298,282.88x = 67,567,849,560.14
  5. Step 5: Solve for x
    x = 67,567,849,560.14/298,282.88
  6. Step 6: Final answer
    x = 226,522.72

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1.5x scale

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.