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Finding the Fourth Proportional to 298,282.13, 411,629.40 and 164,146.13

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Solution

The fourth proportional to 298,282.13, 411,629.40 and 164,146.13 is: 226,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,282.13 : 411,629.40 = 164,146.13 : x
  2. Step 2: Convert to fraction form
    298,282.13/411,629.40 = 164,146.13/x
  3. Step 3: Cross multiply
    298,282.13x = 411,629.40 × 164,146.13
  4. Step 4: Simplify right side
    298,282.13x = 67,567,370,946.08
  5. Step 5: Solve for x
    x = 67,567,370,946.08/298,282.13
  6. Step 6: Final answer
    x = 226,521.69

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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.