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Finding the Fourth Proportional to 300,646.35, 414,875.93 and 164,673.27

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Solution

The fourth proportional to 300,646.35, 414,875.93 and 164,673.27 is: 227,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,646.35 : 414,875.93 = 164,673.27 : x
  2. Step 2: Convert to fraction form
    300,646.35/414,875.93 = 164,673.27/x
  3. Step 3: Cross multiply
    300,646.35x = 414,875.93 × 164,673.27
  4. Step 4: Simplify right side
    300,646.35x = 68,318,975,214.02
  5. Step 5: Solve for x
    x = 68,318,975,214.02/300,646.35
  6. Step 6: Final answer
    x = 227,240.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.