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Finding the Fourth Proportional to 302,328.70, 417,201.00 and 164,508.17

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Solution

The fourth proportional to 302,328.70, 417,201.00 and 164,508.17 is: 227,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,328.70 : 417,201.00 = 164,508.17 : x
  2. Step 2: Convert to fraction form
    302,328.70/417,201.00 = 164,508.17/x
  3. Step 3: Cross multiply
    302,328.70x = 417,201.00 × 164,508.17
  4. Step 4: Simplify right side
    302,328.70x = 68,632,970,329.26
  5. Step 5: Solve for x
    x = 68,632,970,329.26/302,328.70
  6. Step 6: Final answer
    x = 227,014.40

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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.