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Finding the Fourth Proportional to 300,484.35, 414,652.65 and 164,492.25

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Solution

The fourth proportional to 300,484.35, 414,652.65 and 164,492.25 is: 226,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,484.35 : 414,652.65 = 164,492.25 : x
  2. Step 2: Convert to fraction form
    300,484.35/414,652.65 = 164,492.25/x
  3. Step 3: Cross multiply
    300,484.35x = 414,652.65 × 164,492.25
  4. Step 4: Simplify right side
    300,484.35x = 68,207,147,366.96
  5. Step 5: Solve for x
    x = 68,207,147,366.96/300,484.35
  6. Step 6: Final answer
    x = 226,990.68

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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.